What is the answer to x+2=sqrt(2-x) ?

The answer to x+2=sqrt(2-x) is x=(-5+sqrt(17))/2

Solve for x: x+2=sqrt(2-x)

The solution is x=(-5+sqrt(17))/2

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x + 2 = 2 - x

x = \frac{- 5 + 17}{2}

Decimal Notation

x = - 0.43844 \dots

Solution steps

x + 2 = 2 - x

Square both sides:

x^{2} + 4 x + 4 = 2 - x

x^{2} + 4 x + 4 = 2 - x

Solve

x^{2} + 4 x + 4 = 2 - x : x = \frac{- 5 + 17}{2}, x = \frac{- 5 - 17}{2}

x = \frac{- 5 + 17}{2}, x = \frac{- 5 - 17}{2}

Verify Solutions:

x = \frac{- 5 + 17}{2}

True

, x = \frac{- 5 - 17}{2}

False

The solution is

x = \frac{- 5 + 17}{2}

3 x + 1 - x + 3 = 0

y - 8 + 5 = 7

6 x^{- \frac{2}{3}} - 13 x^{- \frac{1}{3}} - 5 = 0

5 x + 41 + 7 = 2 x

a^{\frac{3}{4}} = 81

What is the answer to x+2=sqrt(2-x) ?
The answer to x+2=sqrt(2-x) is x=(-5+sqrt(17))/2
Solve for x: x+2=sqrt(2-x)
The solution is x=(-5+sqrt(17))/2