Solve x/2(x^2)=100

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Type your math problem... x/2(x^2)=100

Question

Solve the equation

x = 2325

Alternative Form

x \approx 5.848035

Evaluate

\frac{x}{2} x^{2} = 100

Multiply the terms

More Steps

Multiply the terms

\frac{x}{2} x^{2}

Multiply the terms

\frac{x \times x ^{2}}{2}

Multiply the terms

More Steps

Evaluate

x \times x^{2}

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

x^{1 + 2}

Add the numbers

x^{3}

\frac{x ^{3}}{2}

\frac{x ^{3}}{2} = 100

Cross multiply

x^{3} = 2 \times 100

Simplify the equation

x^{3} = 200

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

3 x^{3} = 3200

Calculate

x = 3200

Solution

More Steps

Evaluate

3200

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

3 8 \times 25

Write the number in exponential form with the base of 2

3 2^{3} \times 25

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

3 2^{3} \times 325

Reduce the index of the radical and exponent with 3

2325

x = 2325

Alternative Form

x \approx 5.848035

Show Solution

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