Solve (24)(31)*x^3- 100*4

Question

Simplify the expression

744 x^{3} - 400

Evaluate

24 \times 31 x^{3} - 100 \times 4

Multiply the terms

744 x^{3} - 100 \times 4

Solution

744 x^{3} - 400

Show Solution

8 (93 x^{3} - 50)

Evaluate

24 \times 31 x^{3} - 100 \times 4

Multiply the terms

744 x^{3} - 100 \times 4

Multiply the numbers

744 x^{3} - 400

Solution

8 (93 x^{3} - 50)

Show Solution

x = \frac{3 432450}{93}

Alternative Form

x \approx 0.813134

Evaluate

24 \times 31 x^{3} - 100 \times 4

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

24 \times 31 x^{3} - 100 \times 4 = 0

Multiply the terms

744 x^{3} - 100 \times 4 = 0

Multiply the numbers

744 x^{3} - 400 = 0

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

744 x^{3} = 0 + 400

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

744 x^{3} = 400

Divide both sides

\frac{744 x ^{3}}{744} = \frac{400}{744}

Divide the numbers

x^{3} = \frac{400}{744}

Cancel out the common factor 8

x^{3} = \frac{50}{93}

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

3 x^{3} = 3 \frac{50}{93}

Calculate

x = 3 \frac{50}{93}

Solution

More Steps

Evaluate

3 \frac{50}{93}

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

\frac{3 50}{3 93}

Multiply by the Conjugate

\frac{3 50 \times 3 9 3 ^{2}}{3 93 \times 3 9 3 ^{2}}

Simplify

\frac{3 50 \times 3 8649}{3 93 \times 3 9 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

350 \times 38649

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

3 50 \times 8649

Calculate the product

3432450

\frac{3 432450}{3 93 \times 3 9 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

393 \times 3 9 3^{2}

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

3 93 \times 9 3^{2}

Calculate the product

3 9 3^{3}

Reduce the index of the radical and exponent with 3

93

\frac{3 432450}{93}

x = \frac{3 432450}{93}

Alternative Form

x \approx 0.813134

Show Solution