Solve x^3-242=3^12

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Example problems

Type your math problem... x^3-242=3^12

Question

Solve the equation

x = 2331

Alternative Form

x \approx 6.282761

Evaluate

x^{3} - 242 = 3^{1} \times 2

Simplify

More Steps

Evaluate

3^{1} \times 2

Evaluate the power

3 \times 2

Multiply the numbers

6

x^{3} - 242 = 6

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

x^{3} = 6 + 242

Add the numbers

x^{3} = 248

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

3 x^{3} = 3248

Calculate

x = 3248

Solution

More Steps

Evaluate

3248

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

3 8 \times 31

Write the number in exponential form with the base of 2

3 2^{3} \times 31

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

3 2^{3} \times 331

Reduce the index of the radical and exponent with 3

2331

x = 2331

Alternative Form

x \approx 6.282761

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