Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." x ² + 9 kx = 0 A) x = $-$ 9 k or x = 0 B) k = $-$ 9 C) x = 9 k D) x = 9 or x = k

Question

Quizplus · Accepted Answer

First, factor out the common factor of x:

x(2x + 9k) = 0

Then, apply the property "ab = 0 if and only if a = 0 or b = 0":

x = 0 or 2x + 9k = 0

Solving for x in the second equation:

2x + 9k = 0

2x = -9k

x = (-9k)/2

Therefore, the solutions are x = 0 or x = (-9k)/2, which can also be written as x = -9k or x = 0. So, the best choice is A.

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

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