What is the answer to 500(1+0.4(x-1)^{0.75})=13000 ?

The answer to 500(1+0.4(x-1)^{0.75})=13000 is x=(\sqrt[3]{244140625})/(2\sqrt[3]{2)}+1

Solve for x: 500(1+0.4(x-1)^{0.75})=13000

The solution is x=(\sqrt[3]{244140625})/(2\sqrt[3]{2)}+1

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500 (1 + 0.4 (x - 1)^{0.75}) = 13000

Decimal Notation

x = 249.03141 \dots

Solution steps

500 (1 + 0.4 (x - 1)^{0.75}) = 13000

Expand

500 (1 + 0.4 (x - 1)^{0.75}) : 500 + 200 (x - 1)^{0.75}

500 + 200 (x - 1)^{0.75} = 13000

Move

500

to the right side

200 (x - 1)^{0.75} = 12500

Divide both sides by

200

(x - 1)^{0.75} = \frac{125}{2}

Take both sides of the equation to the power of

4 : (x - 1)^{3} = \frac{244140625}{16}

(x - 1)^{3} = \frac{244140625}{16}

Solve

Verify Solutions:

True

The solution is

40 = 4 x

x^{2} - 2 3 x = 45

x, x^{3} + 4 = - 10 y

What is the answer to 500(1+0.4(x-1)^{0.75})=13000 ?
The answer to 500(1+0.4(x-1)^{0.75})=13000 is x=(\sqrt[3]{244140625})/(2\sqrt[3]{2)}+1
Solve for x: 500(1+0.4(x-1)^{0.75})=13000
The solution is x=(\sqrt[3]{244140625})/(2\sqrt[3]{2)}+1