What is the answer to sqrt(2x^2-11x-26)=x ?

The answer to sqrt(2x^2-11x-26)=x is x=13

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sqrt(2x^2-11x-26)=x

2 x^{2} - 11 x - 26 = x

x = 13

Solution steps

2 x^{2} - 11 x - 26 = x

Square both sides:

2 x^{2} - 11 x - 26 = x^{2}

2 x^{2} - 11 x - 26 = x^{2}

Solve

2 x^{2} - 11 x - 26 = x^{2} : x = 13, x = - 2

x = 13, x = - 2

Verify Solutions:

x = 13

True

, x = - 2

False

The solution is

x = 13

x - 2 = 17 x + 4

2 - x = x

2 - x = 4

x = 4 x - 3

x + 3 - x + 8 + 1 = 0

What is the answer to sqrt(2x^2-11x-26)=x ?
The answer to sqrt(2x^2-11x-26)=x is x=13
Solve for x: sqrt(2x^2-11x-26)=x
The solution is x=13