What is the answer to 1.5=2.15(1.5-x)^{3/2} ?

The answer to 1.5=2.15(1.5-x)^{3/2} is x=0.71337…

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1.5=2.15(1.5-x)^{3/2}

1.5 = 2.15 (1.5 - x)^{\frac{3}{2}}

x = 0.71337 \dots

Solution steps

1.5 = 2.15 (1.5 - x)^{\frac{3}{2}}

Switch sides

2.15 (1.5 - x)^{\frac{3}{2}} = 1.5

Multiply both sides by

100

215 (1.5 - x)^{\frac{3}{2}} = 150

Divide both sides by

215

(1.5 - x)^{\frac{3}{2}} = \frac{30}{43}

Take both sides of the equation to the power of

2 : (1.5 - x)^{3} = \frac{900}{1849}

(1.5 - x)^{3} = \frac{900}{1849}

Solve

(1.5 - x)^{3} = \frac{900}{1849} : x = 0.71337 \dots

x = 0.71337 \dots

Verify Solutions:

x = 0.71337 \dots

True

The solution is

x = 0.71337 \dots

2 x - 6 - x + 2 = 0

(x + 5) (2 - x) = 3 x^{2} + x

6 y - 17 = 5

n, n = 1 0^{6}

27 = \frac{5}{6} x

What is the answer to 1.5=2.15(1.5-x)^{3/2} ?
The answer to 1.5=2.15(1.5-x)^{3/2} is x=0.71337…
Solve for x: 1.5=2.15(1.5-x)^{3/2}
The solution is x=0.71337…