What is the answer to x^2-6x-sqrt(x^2-6x-3)=5 ?

The answer to x^2-6x-sqrt(x^2-6x-3)=5 is x=-1,x=7

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x^2-6x-sqrt(x^2-6x-3)=5

x^{2} - 6 x - x^{2} - 6 x - 3 = 5

x = - 1, x = 7

Solution steps

x^{2} - 6 x - x^{2} - 6 x - 3 = 5

Remove square roots

x^{2} - 6 x - 3 = x^{4} - 12 x^{3} + 26 x^{2} + 60 x + 25

Solve

x^{2} - 6 x - 3 = x^{4} - 12 x^{3} + 26 x^{2} + 60 x + 25 : x = - 1, x = 7, x = 3 + 13, x = 3 - 13

x = - 1, x = 7, x = 3 + 13, x = 3 - 13

Verify Solutions:

x = - 1

True

, x = 7

True

, x = 3 + 13

False

, x = 3 - 13

False

The solutions are

x = - 1, x = 7

- 1 - 10 k = - 2 - 2 k + 3

x - 8 x + 15 = 0

x + x^{2} - 4 \cdot x + 4 = 0

x + 1 = 9

x + 1 = 6

What is the answer to x^2-6x-sqrt(x^2-6x-3)=5 ?
The answer to x^2-6x-sqrt(x^2-6x-3)=5 is x=-1,x=7
Solve for x: x^2-6x-sqrt(x^2-6x-3)=5
The solution is x=-1,x=7