What is the answer to sqrt(x+2)=3x^2-4x-1 ?

The answer to sqrt(x+2)=3x^2-4x-1 is x\approx-0.42688…,x\approx 1.86374…

Solve for x: sqrt(x+2)=3x^2-4x-1

The solution is x\approx-0.42688…,x\approx 1.86374…

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x + 2 = 3 x^{2} - 4 x - 1

x \approx - 0.42688 \dots, x \approx 1.86374 \dots

Solution steps

x + 2 = 3 x^{2} - 4 x - 1

Square both sides:

x + 2 = 9 x^{4} - 24 x^{3} + 10 x^{2} + 8 x + 1

x + 2 = 9 x^{4} - 24 x^{3} + 10 x^{2} + 8 x + 1

Solve

x + 2 = 9 x^{4} - 24 x^{3} + 10 x^{2} + 8 x + 1 : x \approx 0.12658 \dots, x \approx - 0.42688 \dots, x \approx 1.10322 \dots, x \approx 1.86374 \dots

x \approx 0.12658 \dots, x \approx - 0.42688 \dots, x \approx 1.10322 \dots, x \approx 1.86374 \dots

Verify Solutions:

x \approx 0.12658 \dots

False

, x \approx - 0.42688 \dots

True

, x \approx 1.10322 \dots

False

, x \approx 1.86374 \dots

True

The solutions are

x \approx - 0.42688 \dots, x \approx 1.86374 \dots

3 x - 2 = 4 - x

x, 2 x + 2 y = 6 x

x^{2} - 5 x + 4 + 1 - x = - 3

x^{\frac{5}{3}} = 32

- 3 x - 2 = x + 2

What is the answer to sqrt(x+2)=3x^2-4x-1 ?
The answer to sqrt(x+2)=3x^2-4x-1 is x\approx-0.42688…,x\approx 1.86374…
Solve for x: sqrt(x+2)=3x^2-4x-1
The solution is x\approx-0.42688…,x\approx 1.86374…