What is the answer to sqrt(x^2+1)=2-x ?

The answer to sqrt(x^2+1)=2-x is x= 3/4

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sqrt(x^2+1)=2-x

x^{2} + 1 = 2 - x

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

x^{2} + 1 = 2 - x

Square both sides:

x^{2} + 1 = 4 - 4 x + x^{2}

x^{2} + 1 = 4 - 4 x + x^{2}

Solve

x^{2} + 1 = 4 - 4 x + x^{2} : x = \frac{3}{4}

x = \frac{3}{4}

Verify Solutions:

x = \frac{3}{4}

True

The solution is

x = \frac{3}{4}

y, x = y - 5

(x^{2} - x - 22)^{\frac{2}{3}} = 27

- 4 - 4 - m = - 4

x + 3 - 2 x = 0

x^{- \frac{2}{3}} = 3