What is the answer to sqrt(x^2-7x-2)=x^2-7x-14 ?

The answer to sqrt(x^2-7x-2)=x^2-7x-14 is x=-2,x=9

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sqrt(x^2-7x-2)=x^2-7x-14

x^{2} - 7 x - 2 = x^{2} - 7 x - 14

x = - 2, x = 9

Solution steps

x^{2} - 7 x - 2 = x^{2} - 7 x - 14

Square both sides:

x^{2} - 7 x - 2 = x^{4} - 14 x^{3} + 21 x^{2} + 196 x + 196

x^{2} - 7 x - 2 = x^{4} - 14 x^{3} + 21 x^{2} + 196 x + 196

Solve

x^{2} - 7 x - 2 = x^{4} - 14 x^{3} + 21 x^{2} + 196 x + 196 : x = - 2, x = 9, x = \frac{7 + 93}{2}, x = \frac{7 - 93}{2}

x = - 2, x = 9, x = \frac{7 + 93}{2}, x = \frac{7 - 93}{2}

Verify Solutions:

x = - 2

True

, x = 9

True

, x = \frac{7 + 93}{2}

False

, x = \frac{7 - 93}{2}

False

The solutions are

x = - 2, x = 9

y, x = 3 y + 1

3 x + 3 - 2 x = 2

x + 2 = 2 x - 9 + 4

y, x = 64 - y^{2}

25 x = \frac{x ^{2}}{25}

What is the answer to sqrt(x^2-7x-2)=x^2-7x-14 ?
The answer to sqrt(x^2-7x-2)=x^2-7x-14 is x=-2,x=9
Solve for x: sqrt(x^2-7x-2)=x^2-7x-14
The solution is x=-2,x=9