Solve x^2160x - 4660

Question

Simplify the expression

160 x^{3} - 4660

Evaluate

x^{2} \times 160 x - 4660

Solution

More Steps

Evaluate

x^{2} \times 160 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 160

Add the numbers

x^{3} \times 160

Use the commutative property to reorder the terms

160 x^{3}

160 x^{3} - 4660

Show Solution

20 (8 x^{3} - 233)

Evaluate

x^{2} \times 160 x - 4660

Multiply

More Steps

Evaluate

x^{2} \times 160 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 160

Add the numbers

x^{3} \times 160

Use the commutative property to reorder the terms

160 x^{3}

160 x^{3} - 4660

Solution

20 (8 x^{3} - 233)

Show Solution

x = \frac{3 233}{2}

Alternative Form

x \approx 3.076725

Evaluate

x^{2} \times 160 x - 4660

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

x^{2} \times 160 x - 4660 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 160 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 160

Add the numbers

x^{3} \times 160

Use the commutative property to reorder the terms

160 x^{3}

160 x^{3} - 4660 = 0

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

160 x^{3} = 0 + 4660

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

160 x^{3} = 4660

Divide both sides

\frac{160 x ^{3}}{160} = \frac{4660}{160}

Divide the numbers

x^{3} = \frac{4660}{160}

Cancel out the common factor 20

x^{3} = \frac{233}{8}

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

3 x^{3} = 3 \frac{233}{8}

Calculate

x = 3 \frac{233}{8}

Solution

More Steps

Evaluate

3 \frac{233}{8}

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

\frac{3 233}{3 8}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 233}{2}

x = \frac{3 233}{2}

Alternative Form

x \approx 3.076725

Show Solution