Solve C^3291-60000

Question

Simplify the expression

291 C^{3} - 60000

Evaluate

C^{3} \times 291 - 60000

Solution

291 C^{3} - 60000

Show Solution

3 (97 C^{3} - 20000)

Evaluate

C^{3} \times 291 - 60000

Use the commutative property to reorder the terms

291 C^{3} - 60000

Solution

3 (97 C^{3} - 20000)

Show Solution

C = \frac{10 3 188180}{97}

Alternative Form

C \approx 5.907713

Evaluate

C^{3} \times 291 - 60000

To find the roots of the expression,set the expression equal to 0

C^{3} \times 291 - 60000 = 0

Use the commutative property to reorder the terms

291 C^{3} - 60000 = 0

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

291 C^{3} = 0 + 60000

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

291 C^{3} = 60000

Divide both sides

\frac{291 C ^{3}}{291} = \frac{60000}{291}

Divide the numbers

C^{3} = \frac{60000}{291}

Cancel out the common factor 3

C^{3} = \frac{20000}{97}

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

3 C^{3} = 3 \frac{20000}{97}

Calculate

C = 3 \frac{20000}{97}

Solution

More Steps

Evaluate

3 \frac{20000}{97}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 20000}{3 97}

Simplify the radical expression

More Steps

Evaluate

320000

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

3 1000 \times 20

Write the number in exponential form with the base of 10

3 1 0^{3} \times 20

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

3 1 0^{3} \times 320

Reduce the index of the radical and exponent with 3

10320

\frac{10 3 20}{3 97}

Multiply by the Conjugate

\frac{10 3 20 \times 3 9 7 ^{2}}{3 97 \times 3 9 7 ^{2}}

Simplify

\frac{10 3 20 \times 3 9409}{3 97 \times 3 9 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

320 \times 39409

The product of roots with the same index is equal to the root of the product

3 20 \times 9409

Calculate the product

3188180

\frac{10 3 188180}{3 97 \times 3 9 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

397 \times 3 9 7^{2}

The product of roots with the same index is equal to the root of the product

3 97 \times 9 7^{2}

Calculate the product

3 9 7^{3}

Reduce the index of the radical and exponent with 3

97

\frac{10 3 188180}{97}

C = \frac{10 3 188180}{97}

Alternative Form

C \approx 5.907713

Show Solution