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

The answer to sqrt(x+6)=3x^2-5x-5 is x\approx-0.93064…,x\approx 2.66148…

Solve for x: sqrt(x+6)=3x^2-5x-5

The solution is x\approx-0.93064…,x\approx 2.66148…

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

x \approx - 0.93064 \dots, x \approx 2.66148 \dots

Solution steps

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

Square both sides:

x + 6 = 9 x^{4} - 30 x^{3} - 5 x^{2} + 50 x + 25

x + 6 = 9 x^{4} - 30 x^{3} - 5 x^{2} + 50 x + 25

Solve

x + 6 = 9 x^{4} - 30 x^{3} - 5 x^{2} + 50 x + 25 : x \approx - 0.42117 \dots, x \approx - 0.93064 \dots, x \approx 2.02367 \dots, x \approx 2.66148 \dots

x \approx - 0.42117 \dots, x \approx - 0.93064 \dots, x \approx 2.02367 \dots, x \approx 2.66148 \dots

Verify Solutions:

x \approx - 0.42117 \dots

False

, x \approx - 0.93064 \dots

True

, x \approx 2.02367 \dots

False

, x \approx 2.66148 \dots

True

The solutions are

x \approx - 0.93064 \dots, x \approx 2.66148 \dots

4 x - 1 = 7

4 x - 1 = 9

9 x + 10 = x + 2

x - 5 x - 6 = 0

3 x + 1 - 7 x + 8 = 1

What is the answer to sqrt(x+6)=3x^2-5x-5 ?
The answer to sqrt(x+6)=3x^2-5x-5 is x\approx-0.93064…,x\approx 2.66148…
Solve for x: sqrt(x+6)=3x^2-5x-5
The solution is x\approx-0.93064…,x\approx 2.66148…