What is one solution to the equation (x - 3)^2 = 49? | SAT Nonlinear equations in one variable and systems of equations in two variables Question, Answer Explained

Math · Advanced MathEasy

What is one solution to the equation $(x - 3)^2 = 49$ ?

Student-produced response: enter your answer.

Show answer and explanation

Answer: 10

Take the square root of both sides: $x - 3 = 7$ or $x - 3 = -7$ . So $x = 10$ or $x = -4$ . Either value is a correct answer.

Adding $3$ to $49$ gives $52$ , but you have to take the square root of $49$ before adding $3$ .

Got it wrong? On SAT Owl, Owl looks at the answer you chose and explains the exact mistake, then gives you similar questions until it sticks. Get your predicted SAT score free, or take a free full-length practice test.