What is the answer to x^2+6x+sqrt(6x+8+x^2)=64 ?

The answer to x^2+6x+sqrt(6x+8+x^2)=64 is x\approx 5.06225…,x\approx-11.06225…

Solve for x: x^2+6x+sqrt(6x+8+x^2)=64

The solution is x\approx 5.06225…,x\approx-11.06225…

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x^{2} + 6 x + 6 x + 8 + x^{2} = 64

x \approx 5.06225 \dots, x \approx - 11.06225 \dots

Solution steps

x^{2} + 6 x + 6 x + 8 + x^{2} = 64

Remove square roots

6 x + 8 + x^{2} = x^{4} + 12 x^{3} - 92 x^{2} - 768 x + 4096

Solve

6 x + 8 + x^{2} = x^{4} + 12 x^{3} - 92 x^{2} - 768 x + 4096 : x \approx 5.06225 \dots, x \approx - 11.06225 \dots, x \approx 6.05538 \dots, x \approx - 12.05538 \dots

x \approx 5.06225 \dots, x \approx - 11.06225 \dots, x \approx 6.05538 \dots, x \approx - 12.05538 \dots

Verify Solutions:

x \approx 5.06225 \dots

True

, x \approx - 11.06225 \dots

True

, x \approx 6.05538 \dots

False

, x \approx - 12.05538 \dots

False

The solutions are

x \approx 5.06225 \dots, x \approx - 11.06225 \dots

2 π (0.9) = \frac{9.8}{x}

v^{2} + 49 - 7 = 0.8 (40)

6912 = a^{- 0.75}

x + 1 + x = 5

11 x + 5 - 11 x = 1

What is the answer to x^2+6x+sqrt(6x+8+x^2)=64 ?
The answer to x^2+6x+sqrt(6x+8+x^2)=64 is x\approx 5.06225…,x\approx-11.06225…
Solve for x: x^2+6x+sqrt(6x+8+x^2)=64
The solution is x\approx 5.06225…,x\approx-11.06225…