Solving Quadratic Equations By Extracting Square Roots Worksheet

Solving Quadratic Equations By Extracting Square Roots Worksheet

answer the quadratic equations. show your solution 1. Solve the quadratic equation by extracting square root ײ-169=02. Solve the quadratic equation by extracting square root 3b²-25=11.3. solve the quadratic equation by extracting square root ײ-400=04. solve the quadratic equation by extracting square root 7a²-300=435. solve the quadratic equation by extracting square root 8y²-15=y²+1​

Daftar Isi

1. answer the quadratic equations. show your solution 1. Solve the quadratic equation by extracting square root ײ-169=02. Solve the quadratic equation by extracting square root 3b²-25=11.3. solve the quadratic equation by extracting square root ײ-400=04. solve the quadratic equation by extracting square root 7a²-300=435. solve the quadratic equation by extracting square root 8y²-15=y²+1​


hope this helps and pa-brainliest, tysm! :))


2. solving Quadratic Equations by Extracting Square Roots​


Answer:

Nasan yong sasagotan jan


3. solve the quadratic equations by extracting square roots​


Answer:

asa man ang e solve

Step-by-step explanation:

Ana dong o day


4. solving quadratic equation by extracting square roots​


answer:

This is the “best” method whenever the quadratic equation only contains x² terms. That implies no presence of any xx term being raised to the first power somewhere in the equation.

Step-by-step explanation:

The general approach is to collect all {x^2}x

2

terms on one side of the equation while keeping the constants to the opposite side. After doing so, the next obvious step is to take the square roots of both sides to solve for the value of xx. Always attach the \pm± symbol when you get the square root of the constant.


5. solve the following quadratic equations by extracting square roots.​


Answer:

1. 4

2. 9

3. 10

4. 12

5. radical sign then 5

i can't clearly see the other problems please make it clear

#CarryOnLearning

#BagongAralin

Answer:

1. 4

2. 9

3. 10

4. 12

5. 2s²/2=50/2

s²=25

S=5

6. /4s²=/225

2s = 15

2s/2 = 15/2

s= 15/2 or 7.5

7. 3h²/3= 147/3

h²=49

h=7

8. /(x-4)²=/169

x-4=13

x=13+4

x=17

9. /(k+7)²=/289

k+7 = 17

k= 17-7

k= 10

10. /(2s-1)²=/225

2s-1 = 15

2s=15+1=16

2s/2= 16/2

s=8


6. solve the following quadratic equations by extracting the square root​


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Step-by-step explanation:

1. x² = 16

x = √16

x = ±4

x1 = 4, x2 = -4

2. r² - 100 = 0

r² = 100

r = √100

r = ±10

r1 = 10, r2 = -10

3. s² = 64

s = √64

s = ±8

s1 = 8, s2 = -8

4. r² = 18

r = √18

r = √9•2

r = ±3√2

r1 = 3√2, r2 = -3√2

5. x² - 144 = 0

x² = 144

x = √144

x = ±12

x1 = 12, x2 = -12

6. x² = 50

x = √50

x = √25•2

x = ±5√2

x1 = 5√2, x2 = -5√2

7. t² - 12 = 0

t² = 12

t= √12

t = √4•3

t = ±2√3

t1 = 2√3, t2 = -2√3

8. c² -32 = 0

c² = 32

c = √32

c = √16•2

c = ±4√2

x1 = 4√2, x2 = -4√2

9. (k + 7)² = 81

k + 7 = √81

k + 7 = ±9

k = ±9 - 7

k1 = 9 - 7

k1 = 2

k2 = -9 - 7

k2 = -16

10. (x - 4)² = 169

x - 4 = √169

x - 4 = ±13

x = ±13 + 4

x1 = 13 + 4

x1 = 17

x2 = -13 + 4

x2 = -9


7. How to solve quadratic equations by extracting the square roots?


ex. x²-4=0
x²=4
√x²=±√4
x=±2

x² – 50 = 0
x² = 50
√x² = √50
x = √25 x 2
x = ±5√2To solve this equation by factoring, first square x+2 and then put it in standard form, equal to zero, by subtracting 25 from both sides. Factor and then apply the zero-product property. When an equation is in this form, we can obtain the solutions in fewer steps byextracting the roots.


8. Solving Quadratic Equations by Extracting Square Roots​


Answer:

it depends on the given equation


9. solve the following quadratic equations by extracting the square roots.​


Answer:

1. r² = 16

√r² = √16

r = 4

2. r²-100= 0

r²= 100

√r²= √100

r = 10

3. s² = 64

√s²= √64

s= 8

4.r²= 18

√ r² = √18

r = 9

5.x²-144= 0

x² = 144

√x² = √144

x = 12

6.x² = 50

√x² = √50

x = 5√2

7. t²-12 = 0

t² = 12

√t²= √12

t = 2√3

8.c²-32= 0

c²= 32

√c² = √32

c = 4√2

9.(k + 7)² = 81

√(k + 7)² = √81

k + 7 = 9

k = 9 - 7

k = 2

10.(x - 4)² = 169

√(x + 4)² = √169

x + 4 = 13

x= 13 - 4

x = 9


10. solve the following quadratic equations by extracting square roots​


Answer:

where are the quadratic equations?


11. how to solve quadratic equation by extracting square roots?​


Answer:

Step 1: Transpose the constant to the right side of the equation.

Step 2:  Extract the roots of both side of the equation to solve for x.  However if the numerical coefficient of x2  is greater than 1 then divide first both sides of the equation by its numerical coefficient

Step 3:  Continue performing the operation/s.

Step-by-step explanation:

example :

Step1.     x2=25  

Step 2:   x2=±25  

Step 3

x=±5

x1 = 5 and x2 = -5


12. Solve the following quadratic equation by extracting square roots.​


Answer:

1. x-4

2. x

3. x+2

4. (x-4)-5

#CarryonLearning

calculator is the key to success


13. solve quadratic equations by extracting square roots


Answer:

To solve Quadratic Equation by Square Roots your equation must be in the form of x²=k . Get the square root of both sides and solve the resulting equation.


14. solve the following quadratic equation by extracting square roots ​


Step-by-step explanation:

where's the following?


15. solve quadratic equation by extracting the square root​


Answer:

4444

Step-by-step explanation:


16. solving quadratic equation by extracting the square root​


Answer:

Solve equations of the form ax2+c=0 by extracting the roots. Extracting roots involves isolating the square and then applying the square root property. Remember to include “±” when taking the square root of both sides. ... Solve any quadratic equation by completing the square.

Step-by-step explanation:

ayan poba?


17. Solving Quadratic Equation By Extracting Square Roots​


Answer:

johbsihxsihzvwiuvzwuovz2jsve9ubss39ugs29vse9uvs2gx39vsse9bs2oug2jovs2uobdeihbsh3ovd2u9sb

1+1=1 5+5=5+8÷9stery


18. how to solve quadratic equation by extracting square roots? ​


Answer:

Example below

Step-by-step explanation:

x[tex]x^{2} -81=0\\x^{2}= 81\\\sqrt{x} Square root of x^{2 } = square root of 81\\x= positive negative 9\\final answer: x=9 and x= -9\\Checking:\\If x=9\\x^{2}= 81\\(9){2}=81\\81=81 true\\If x= -9\\x^{2}=81\\(-9)^{2}=81\\81=81 true[/tex]


19. solving quadratic equations by extracting square roots


Answer:

Some books call it the square root method. Now let's consider a quadratic equation that's just of this form x squared equals a number like x squared equals 4. Well.

20. solving quadratic equations by extracting the square root


Answer:

PSPSNPSNPSNPS

This is what I know


21. How are quadratic equations solved by extracting the square root?​


by simply following the instructions or formula rather

Answer:

fallow the instructions


22. Solve the given quadratic equation by extracting the square root.


(I can't explain, sorry. Please observe. :( )

x^2 = 144
√x² = +-√144
x = ±12

3s^2 = 147
s^2 = 49          (divide by 3, we should have 1x^2 for the leading term, I think)
√s^2 = ±√49
s = ±7

s^2 + 25 = 16
s^2 = -9
√s² = ±√9i²
s = ±3i

23. How to solve Quadratic Equation by Extracting square roots?​


Step-by-step explanation:

example ni siyaa guysssss

√x^2=√64

x=8


24. solving quadratic equation by extracting square roots↑​


Answer:

1. a x² = 2x + 3

2. b 3x² - 48 = 0

3. C 11 & -11

4. C 2

5. b the equation has 2 solutions


25. Solve the given quadratic equation by extracting the square root.


1.x²=144
x=√144
x=12
2.t²-36=0
t²=36
t=√36
t=6
3.3s²=147
s²=√49
=7
4.s²+25=16
s²=16-25
s²=-9
s=✓-9
=3i
5.x²+18=18
x²=18-18
=0

26. how to solve quadratic equations by extracting square roots?


x^2+x+2= (x^2+x)+2 = (x^2+x+1/4)+2-1/4 = (x+1/2)^2+7/4To solve quadratic equations by extracting square roots, you should find the square roots of the numbers

27. solve the following quadratic equations by extracting square roots​


Answer:

4 , -49 , -910 , -1012 , -125 , -515/2 , -15/27 , -717 , -910 , -248 , -7


28. SOLVE QUADRATIC EQUATIONS BY EXTRACTING SQUARE ROOTS


Answer:

-327178819191010198292920@00@9@9


29. solve the following quadratic equations by extracting the square roots​


Answer:

sorry di ko alm Ang hirap kase eh..ano grade kana po ba?


30. solve the following quadratic equation by extracting square roots ​


Answer:

1. x = 0

2. x = 1

3. x = ±2

Step-by-step explanation:

1. x = ±√0

x = 0

2. x-1 = ±√0

x-1 = 0

x = 1

3. 3x²/3 = 12/3

x² = 4

x = ±√4

x = ±2


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