Question bank / Nonlinear equations in one variable and systems of equations in two variables

Math · Advanced MathEasy

What are the solutions to the equation (x−4)(x+9)=0(x - 4)(x + 9) = 0?

A

−4-4 and 99

B

44 and −9-9

C

44 and 99

D

−4-4 and −9-9

Show answer and explanation

Answer: B

A product equals zero when one of its factors equals zero. If x−4=0x - 4 = 0, then x=4x = 4. If x+9=0x + 9 = 0, then x=−9x = -9.

Choice A reverses the signs, taking the numbers from the factors as they appear.

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