z 2 + 10 z - 24 = 0 What is one of the solutions to the given equation?

Question

Accepted Answer

The correct answer is either 2 or - 12 . The left-hand side of the given equation can be rewritten by factoring. The two values that multiply to - 24 and add to 10 are 12 and - 2 . It follows that the given equation can be rewritten as z + 12 z - 2 = 0 . Setting each factor equal to 0 yields two equations: z + 12 = 0 and z - 2 = 0 . Subtracting 12 from both sides of the equation z + 12 = 0 results in z = - 12 . Adding 2 to both sides of the equation z - 2 = 0 results in z = 2 . Note that 2 and -12 are examples of ways to enter a correct answer.

Question z-2-10