SAT Nonlinear equations in one variable and systems of equations in two variables Practice Question 5 (Easy)

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

Math · Advanced MathEasy

What are the solutions to the equation $x^2 + 5x + 6 = 0$ ?

$2$ and $3$

$-2$ and $-3$

$-1$ and $-6$

$1$ and $6$

Show answer and explanation

Answer: B

Factor: find two numbers that multiply to 6 and add to 5, which are 2 and 3. So $(x + 2)(x + 3) = 0$ , and $x = -2$ or $x = -3$ .

Choice A gives the numbers in the factors rather than the values of $x$ that make each factor zero.

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