What is the answer to x^5=3sqrt(x+1)-2 ?

The answer to x^5=3sqrt(x+1)-2 is x\approx 1.19584…,x\approx-0.58564…

Solve for x: x^5=3sqrt(x+1)-2

The solution is x\approx 1.19584…,x\approx-0.58564…

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

x \approx 1.19584 \dots, x \approx - 0.58564 \dots

Solution steps

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

Remove square roots

x^{10} + 4 x^{5} + 4 = 9 x + 9

Solve

x^{10} + 4 x^{5} + 4 = 9 x + 9 : x \approx 1.19584 \dots, x \approx - 0.58564 \dots

x \approx 1.19584 \dots, x \approx - 0.58564 \dots

Verify Solutions:

x \approx 1.19584 \dots

True

, x \approx - 0.58564 \dots

True

The solutions are

x \approx 1.19584 \dots, x \approx - 0.58564 \dots

28 x = 7 x

3 x + 1 + x = 13

0 = 0.5 x^{2} - 2 x

t = - \frac{1}{2}

4 p + 1 - 7 = 0

What is the answer to x^5=3sqrt(x+1)-2 ?
The answer to x^5=3sqrt(x+1)-2 is x\approx 1.19584…,x\approx-0.58564…
Solve for x: x^5=3sqrt(x+1)-2
The solution is x\approx 1.19584…,x\approx-0.58564…