Solve x^(2) x-165000=0

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Type your math problem... x^(2) x-165000=0

Question

Solve the equation

x = 103165

Alternative Form

x \approx 54.848066

Evaluate

x^{2} \times x - 165000 = 0

Multiply the terms

More Steps

Evaluate

x^{2} \times x

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{2 + 1}

Add the numbers

x^{3}

x^{3} - 165000 = 0

Move the constant to the right-hand side and change its sign

x^{3} = 0 + 165000

Removing 0 doesn't change the value,so remove it from the expression

x^{3} = 165000

Take the 3 -th root on both sides of the equation

3 x^{3} = 3165000

Calculate

x = 3165000

Solution

More Steps

Evaluate

3165000

Write the expression as a product where the root of one of the factors can be evaluated

3 1000 \times 165

Write the number in exponential form with the base of 10

3 1 0^{3} \times 165

The root of a product is equal to the product of the roots of each factor

3 1 0^{3} \times 3165

Reduce the index of the radical and exponent with 3

103165

x = 103165

Alternative Form

x \approx 54.848066

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