What is the answer to sqrt(x+10)-1=x ?

The answer to sqrt(x+10)-1=x is x=(-1+sqrt(37))/2

Solve for x: sqrt(x+10)-1=x

The solution is x=(-1+sqrt(37))/2

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x + 10 - 1 = x

x = \frac{- 1 + 37}{2}

Decimal Notation

x = 2.54138 \dots

Solution steps

x + 10 - 1 = x

Remove square roots

x + 10 = x^{2} + 2 x + 1

Solve

x + 10 = x^{2} + 2 x + 1 : x = \frac{- 1 + 37}{2}, x = \frac{- 1 - 37}{2}

x = \frac{- 1 + 37}{2}, x = \frac{- 1 - 37}{2}

Verify Solutions:

x = \frac{- 1 + 37}{2}

True

, x = \frac{- 1 - 37}{2}

False

The solution is

x = \frac{- 1 + 37}{2}

(2 a^{2} + 5 a + 2)^{\frac{1}{2}} = 3

2 x = x - 8

y, x = y^{\frac{3}{2}}

3 x + 1 = 4

What is the answer to sqrt(x+10)-1=x ?
The answer to sqrt(x+10)-1=x is x=(-1+sqrt(37))/2
Solve for x: sqrt(x+10)-1=x
The solution is x=(-1+sqrt(37))/2