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

The answer to x+sqrt(2x^2-1)=2 is x=-5,x=1

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

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

x = - 5, x = 1

Solution steps

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

Remove square roots

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

Solve

2 x^{2} - 1 = 4 - 4 x + x^{2} : x = - 5, x = 1

x = - 5, x = 1

Verify Solutions:

x = - 5

True

, x = 1

True

The solutions are

x = - 5, x = 1

2 x + 6 = 1 - x

2 + 3 x - 6 = 6

x^{2} + 24 x + x^{2} + 24 x = 30

\frac{x}{2} = 1

x^{2} + 3 x + 6 - 3 x = x^{2} + 4

What is the answer to x+sqrt(2x^2-1)=2 ?
The answer to x+sqrt(2x^2-1)=2 is x=-5,x=1
Solve for x: x+sqrt(2x^2-1)=2
The solution is x=-5,x=1