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

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

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

x + 2 = x^{2} + 1

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

x + 2 = x^{2} + 1

Square both sides:

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

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

Solve

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

x = - \frac{3}{4}

Verify Solutions:

x = - \frac{3}{4}

True

The solution is

x = - \frac{3}{4}

x^{\frac{2}{3}} = 9

x + 6 = x - 6

x = 1

x + 8 - x - 4 = 2

x = 2 x - 1