What is the answer to 1.5=2.18(x-1.72)^{3/2} ?

The answer to 1.5=2.18(x-1.72)^{3/2} is x=2.49939…

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1.5=2.18(x-1.72)^{3/2}

1.5 = 2.18 (x - 1.72)^{\frac{3}{2}}

x = 2.49939 \dots

Solution steps

1.5 = 2.18 (x - 1.72)^{\frac{3}{2}}

Switch sides

2.18 (x - 1.72)^{\frac{3}{2}} = 1.5

Multiply both sides by

100

218 (x - 1.72)^{\frac{3}{2}} = 150

Divide both sides by

218

(x - 1.72)^{\frac{3}{2}} = \frac{75}{109}

Take both sides of the equation to the power of

2 : (x - 1.72)^{3} = \frac{5625}{11881}

(x - 1.72)^{3} = \frac{5625}{11881}

Solve

(x - 1.72)^{3} = \frac{5625}{11881} : x = 2.49939 \dots

x = 2.49939 \dots

Verify Solutions:

x = 2.49939 \dots

True

The solution is

x = 2.49939 \dots

- x^{2} + 4 x = 0

a^{2} + (2.75 a)^{2} = 150

0 = 4 - 0 + y^{2}

What is the answer to 1.5=2.18(x-1.72)^{3/2} ?
The answer to 1.5=2.18(x-1.72)^{3/2} is x=2.49939…
Solve for x: 1.5=2.18(x-1.72)^{3/2}
The solution is x=2.49939…