What is the answer to 1.1x^5=sqrt(x+2) ?

The answer to 1.1x^5=sqrt(x+2) is x\approx 1.09859…

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1.1x^5=sqrt(x+2)

1.1 x^{5} = x + 2

x \approx 1.09859 \dots

Solution steps

1.1 x^{5} = x + 2

Square both sides:

1.21 x^{10} = x + 2

1.21 x^{10} = x + 2

Solve

1.21 x^{10} = x + 2 : x \approx - 0.98279 \dots, x \approx 1.09859 \dots

x \approx - 0.98279 \dots, x \approx 1.09859 \dots

Verify Solutions:

x \approx - 0.98279 \dots

False

, x \approx 1.09859 \dots

True

The solution is

x \approx 1.09859 \dots

1 - x + x + 9 = 4

x - 2 + 4 = x

8 x - 2 x + 2 = 7

4 x - 6 = x + 9

What is the answer to 1.1x^5=sqrt(x+2) ?
The answer to 1.1x^5=sqrt(x+2) is x\approx 1.09859…
Solve for x: 1.1x^5=sqrt(x+2)
The solution is x\approx 1.09859…