What is the answer to sqrt(x^2-x-10)-sqrt(2x-11x)=10 ?

The answer to sqrt(x^2-x-10)-sqrt(2x-11x)=10 is x\approx-24.57808…

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sqrt(x^2-x-10)-sqrt(2x-11x)=10

x^{2} - x - 10 - 2 x - 11 x = 10

x \approx - 24.57808 \dots

Solution steps

x^{2} - x - 10 - 2 x - 11 x = 10

Remove square roots

x^{4} + 16 x^{3} - 156 x^{2} - 1760 x + 12100 = - 3600 x

Solve

x^{4} + 16 x^{3} - 156 x^{2} - 1760 x + 12100 = - 3600 x : x \approx - 4.39887 \dots, x \approx - 24.57808 \dots

x \approx - 4.39887 \dots, x \approx - 24.57808 \dots

Verify Solutions:

x \approx - 4.39887 \dots

False

, x \approx - 24.57808 \dots

True

The solution is

x \approx - 24.57808 \dots

7 x - 2 x + 15 = 0

- 7 + (16 p + 8)^{\frac{1}{3}} = - 1

10 x + 11 = x + 2

x + 1 = 3

m - 1 + 5 = m - 2

What is the answer to sqrt(x^2-x-10)-sqrt(2x-11x)=10 ?
The answer to sqrt(x^2-x-10)-sqrt(2x-11x)=10 is x\approx-24.57808…
Solve for x: sqrt(x^2-x-10)-sqrt(2x-11x)=10
The solution is x\approx-24.57808…