What is the answer to x^2-4x-12=sqrt(5-x) ?

The answer to x^2-4x-12=sqrt(5-x) is x\approx-2.32510…

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x^2-4x-12=sqrt(5-x)

x^{2} - 4 x - 12 = 5 - x

x \approx - 2.32510 \dots

Solution steps

x^{2} - 4 x - 12 = 5 - x

Square both sides:

x^{4} - 8 x^{3} - 8 x^{2} + 96 x + 144 = 5 - x

x^{4} - 8 x^{3} - 8 x^{2} + 96 x + 144 = 5 - x

Solve

x^{4} - 8 x^{3} - 8 x^{2} + 96 x + 144 = 5 - x : x \approx - 1.66315 \dots, x \approx - 2.32510 \dots

x \approx - 1.66315 \dots, x \approx - 2.32510 \dots

Verify Solutions:

x \approx - 1.66315 \dots

False

, x \approx - 2.32510 \dots

True

The solution is

x \approx - 2.32510 \dots

7 x - 1 = 3

x - x = - 12

z, 7 - 3 z = 3 + cz

x - 1 = - 4

0 = \frac{- 3 x + 10}{2 5 - x}

What is the answer to x^2-4x-12=sqrt(5-x) ?
The answer to x^2-4x-12=sqrt(5-x) is x\approx-2.32510…
Solve for x: x^2-4x-12=sqrt(5-x)
The solution is x\approx-2.32510…