What is the answer to x^3=9-2sqrt(x) ?

The answer to x^3=9-2sqrt(x) is x\approx 1.84527…

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x^3=9-2sqrt(x)

x^{3} = 9 - 2 x

x \approx 1.84527 \dots

Solution steps

x^{3} = 9 - 2 x

Remove square roots

x^{6} - 18 x^{3} + 81 = 4 x

Solve

x^{6} - 18 x^{3} + 81 = 4 x : x \approx 2.29116 \dots, x \approx 1.84527 \dots

x \approx 2.29116 \dots, x \approx 1.84527 \dots

Verify Solutions:

x \approx 2.29116 \dots

False

, x \approx 1.84527 \dots

True

The solution is

x \approx 1.84527 \dots

2 x + 2 = 1

x^{2} - 3 x - 5 = 0

x = 2 x - 15

3 x + 3 x - 8 = 2

What is the answer to x^3=9-2sqrt(x) ?
The answer to x^3=9-2sqrt(x) is x\approx 1.84527…
Solve for x: x^3=9-2sqrt(x)
The solution is x\approx 1.84527…