Solve 695x^3-300 - ScanMath

Question

Factor the expression

5 (139 x^{3} - 60)

Evaluate

695 x^{3} - 300

Solution

5 (139 x^{3} - 60)

Show Solution

x = \frac{3 1159260}{139}

Alternative Form

x \approx 0.755751

Evaluate

695 x^{3} - 300

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

695 x^{3} - 300 = 0

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

695 x^{3} = 0 + 300

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

695 x^{3} = 300

Divide both sides

\frac{695 x ^{3}}{695} = \frac{300}{695}

Divide the numbers

x^{3} = \frac{300}{695}

Cancel out the common factor 5

x^{3} = \frac{60}{139}

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

3 x^{3} = 3 \frac{60}{139}

Calculate

x = 3 \frac{60}{139}

Solution

More Steps

Evaluate

3 \frac{60}{139}

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

\frac{3 60}{3 139}

Multiply by the Conjugate

\frac{3 60 \times 3 13 9 ^{2}}{3 139 \times 3 13 9 ^{2}}

Simplify

\frac{3 60 \times 3 19321}{3 139 \times 3 13 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

360 \times 319321

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

3 60 \times 19321

Calculate the product

31159260

\frac{3 1159260}{3 139 \times 3 13 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

3139 \times 3 13 9^{2}

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

3 139 \times 13 9^{2}

Calculate the product

3 13 9^{3}

Reduce the index of the radical and exponent with 3

139

\frac{3 1159260}{139}

x = \frac{3 1159260}{139}

Alternative Form

x \approx 0.755751

Show Solution