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Which equation has the same solutions as x² + 6x - 7 = 0?

User Seramme
by
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1 Answer

1 vote

Answer:

(x+3)²=16

Explanation:

I'm gonna solve this equation by completing the square

x²+6x-7 = 0 by Completing The Square

Add 7 to both side of the equation :

x²+6x = 7

Now you take the coefficient of x , which is 6 , divide it by two = 3 , and finally square it giving 9

Add 9 to both sides of the equation :

x²+6x+9=7+9

(x+3)x(x+3)=(x+3)²

7+9=16

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| (x+3)²=16 |

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Now you square root both sides to get x+3=±4

x+3=+4 or x+3=-4

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x+3=+4= -7

x+3=-4= 1

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x= -7

x= 1

Hope this helps! Have an amazing day :)

User Jowayne
by
5.7k points