What is the answer to (1-x)^{3/2}=x ?

The answer to (1-x)^{3/2}=x is x\approx 0.43015…

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(1-x)^{3/2}=x

(1 - x)^{\frac{3}{2}} = x

x \approx 0.43015 \dots

Solution steps

(1 - x)^{\frac{3}{2}} = x

Take both sides of the equation to the power of

2 : (1 - x)^{3} = x^{2}

(1 - x)^{3} = x^{2}

Solve

(1 - x)^{3} = x^{2} : x \approx 0.43015 \dots

x \approx 0.43015 \dots

Verify Solutions:

x \approx 0.43015 \dots

True

The solution is

x \approx 0.43015 \dots

x + 5 - 10 = - 5

(x + 1)^{2} = ∣ - 5 ∣

5 x + 14 = x

4 x^{\frac{1}{3}} = 20

3 x + 4 - 5 = 0

What is the answer to (1-x)^{3/2}=x ?
The answer to (1-x)^{3/2}=x is x\approx 0.43015…
Solve for x: (1-x)^{3/2}=x
The solution is x\approx 0.43015…