Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 + 2 kx $-$ 8 k 2 = 0
A) x = $-$ 2 k or x = $-$ 4
B) x = $-$ 3 or x = 5 k
C) x = 2 k or x = $-$ 4 k
D) x = 8 or x = k

Question

Quizplus · Accepted Answer

To solve the quadratic equation, we first need to factor it. We can factor x^2 + 2kx - 8k^2 as (x+4k)(x-2k). 
Now we use the property ab = 0 if and only if a = 0 or b = 0, which means that the equation is true if and only if (x+4k) = 0 or (x-2k) = 0. 
Solving for x, we get x = -4k or x = 2k. 
Therefore, the answer is choice C, x = 2k or x = -4k.

Solve the Quadratic Equation by Factoring and Applying the Property −-−

Solve the Quadratic Equation by Factoring and Applying the Property $-$