16Hit1600
Advanced MathVery hardEquation with two radicals

Advanced Math practice question

What value of x satisfies √x + √(x + 5) = 5?

Answer: 4

√(x + 5) = 5 − √x; squaring gives x + 5 = 25 − 10√x + x, so √x = 2 and x = 4.

Common wrong answers

If you answered 2
2 is √x, not x.
If you answered 16
16 comes from √x = 4.
If you answered 20
20 comes from 10√x = 20 read as x = 20.

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