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

Math · Advanced MathEasy

What value of xx satisfies the equation x+5=4\sqrt{x + 5} = 4?

Student-produced response: enter your answer.

Show answer and explanation

Answer: 11

Square both sides: x+5=16x + 5 = 16. Subtract 5: x=11x = 11. Check: 16=4\sqrt{16} = 4.

Forgetting to square 4 gives x+5=4x + 5 = 4 and the incorrect value −1-1.

Ask Owl about this questionNext question

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.