Question

Complete the square to solve the equation below. x^2 + 2x - 9 = 15
A. x = -1; x = 3
B. x = 5; x = -4
C. x = -1; x = 4
D. x = -6; x = 4

Answer 1

${x}^{2} \: + 2x - 9 - 15 = 0 \\ {x }^{2} + 2x - 24 = 0 \\ {x}^{2} + 6x - 4x - 24 = 0 \\ x(x + 6) - 4(x + 6) = 0 \\ (x - 4)(x + 6) = 0 \\ x - 4 = 0 \: or \: x + 6 = 0 \\ x = + 4 \: or \: x = - 6$
THEREFORE ANS: D x=4,x=-6

Answer 2

Option D - x = -6; x = 4

Step-by-step explanation:

Given :  Equation $x^2+2x-9=15$

To find : Complete the square to solve the equation ?

Solution :

Solve the equation by middle term split,

$x^2+2x-9-15=0$

$x^2+2x-24=0$

$x^2+6x - 4x-24=0$

$x(x + 6) - 4(x + 6)=0$

$(x - 4)(x + 6)=0$

$(x - 4)=0,(x + 6)=0$

$x=4,-6$

The solution of the equation is x=-6 and x=4.

Therefore, option D is correct.

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