Solve n^2 n - 4200 = 0

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Type your math problem... n^2 n - 4200 = 0

Question

Solve the equation

n = 23525

Alternative Form

n \approx 16.134286

Evaluate

n^{2} \times n - 4200 = 0

Multiply the terms

More Steps

Evaluate

n^{2} \times n

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

n^{2 + 1}

Add the numbers

n^{3}

n^{3} - 4200 = 0

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

n^{3} = 0 + 4200

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

n^{3} = 4200

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

3 n^{3} = 34200

Calculate

n = 34200

Solution

More Steps

Evaluate

34200

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

3 8 \times 525

Write the number in exponential form with the base of 2

3 2^{3} \times 525

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

3 2^{3} \times 3525

Reduce the index of the radical and exponent with 3

23525

n = 23525

Alternative Form

n \approx 16.134286

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