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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

11-x=√(11-x)
Which of the following are the solutions to the above equation?

A.x=0 and x=1
B.x=10 and x=11
C.x=11 and x=12
D.x=1 and x=10

答案和解析

答案：B

解析：

Choice B is correct. Solve the equation by squaring both sides to eliminate the radical.
(11-x)²=(√11-x)²
x²-21x+110=0
The solutions to the equation are x=10 and x=11.