What is the answer to sqrt(x^2+x-1)+x=2x+3 ?

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

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sqrt(x^2+x-1)+x=2x+3

x^{2} + x - 1 + x = 2 x + 3

x = - 2

Solution steps

x^{2} + x - 1 + x = 2 x + 3

Remove square roots

x^{2} + x - 1 = x^{2} + 6 x + 9

Solve

x^{2} + x - 1 = x^{2} + 6 x + 9 : x = - 2

x = - 2

Verify Solutions:

x = - 2

True

The solution is

x = - 2

x + 15 - x + 3 = 2

x + 4 x + 1 = 0

x^{2} - 6 = 2 2 x

x + 7 + 1 = 2 x

\frac{x}{1 - x} + \frac{1 - x}{x} = 2 \frac{1}{6}

What is the answer to sqrt(x^2+x-1)+x=2x+3 ?
The answer to sqrt(x^2+x-1)+x=2x+3 is x=-2
Solve for x: sqrt(x^2+x-1)+x=2x+3
The solution is x=-2