What is the answer to sqrt(x^2-3x-6)=x-1 ?

The answer to sqrt(x^2-3x-6)=x-1 is No Solution for x\in\mathbb{R}

Solve for x: sqrt(x^2-3x-6)=x-1

The solution is No Solution for x\in\mathbb{R}

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x^{2} - 3 x - 6 = x - 1

No Solution for x \in R

Solution steps

x^{2} - 3 x - 6 = x - 1

Square both sides:

x^{2} - 3 x - 6 = x^{2} - 2 x + 1

x^{2} - 3 x - 6 = x^{2} - 2 x + 1

Solve

x^{2} - 3 x - 6 = x^{2} - 2 x + 1 : x = - 7

x = - 7

Verify Solutions:

x = - 7

False

The solution is

No Solution for x \in R

72 - x = \frac{x}{5}

(x - 6)^{\frac{3}{2}} = 8

x = 2 x - 8

56 - 8 x = x - 7

4 u - 3 = u - 2

What is the answer to sqrt(x^2-3x-6)=x-1 ?
The answer to sqrt(x^2-3x-6)=x-1 is No Solution for x\in\mathbb{R}
Solve for x: sqrt(x^2-3x-6)=x-1
The solution is No Solution for x\in\mathbb{R}