Question

Which equation has the same solutions as the equation given below?

Answer 1

Answer:

B. $\displaystyle (x + 9)^2 = 49$

Step-by-step explanation:

For Quadratic Equations, $\displaystyle y = Ax^2 + Bx + C,$ use the formula $\displaystyle [\frac{b}{2}]^2$ to complete the square:

$\displaystyle (x^2 + 18x + 81) + k \\ (x^2 + 18x + 81) - 49 \\ \\ (x + 9)^2 - 49 → (x + 9)^2 = 49$

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Answer 2

Answer:

B

Step-by-step explanation:

Also solved eveything

(x+9)^2=49

x^2+18x+81=49

x^2+18x+32=0

a=1, b=18 and c=32

x= (-18 +/- Sqrt (18^2-4×32))/2

x= (-18 +/- Sqrt (324-128))/2

x= (-18 +/- Sqrt (196))/2

x= (-18 +/- 14)/2

x= (-18 +14)/2 = -4/2 =-2

OR

x= (-18 -14)/2 = -32/2 =-16