Solve 0=y^(2) y-24

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Example problems

Type your math problem... 0=y^(2) y-24

Question

Solve the equation

y = 233

Alternative Form

y \approx 2.884499

Evaluate

0 = y^{2} \times y - 24

Multiply the terms

More Steps

Evaluate

y^{2} \times y

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

y^{2 + 1}

Add the numbers

y^{3}

0 = y^{3} - 24

Swap the sides of the equation

y^{3} - 24 = 0

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

y^{3} = 0 + 24

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

y^{3} = 24

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

3 y^{3} = 324

Calculate

y = 324

Solution

More Steps

Evaluate

324

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

3 8 \times 3

Write the number in exponential form with the base of 2

3 2^{3} \times 3

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

3 2^{3} \times 33

Reduce the index of the radical and exponent with 3

233

y = 233

Alternative Form

y \approx 2.884499

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