Solve n^2 8n - 486

Question

Simplify the expression

8 n^{3} - 486

Show Solution

2 (4 n^{3} - 243)

Show Solution

n = \frac{3 3 18}{2}

Alternative Form

n \approx 3.931112

Evaluate

n^{2} \times 8 n - 486

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

n^{2} \times 8 n - 486 = 0

Multiply

More Steps

8 n^{3} - 486 = 0

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

8 n^{3} = 0 + 486

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

8 n^{3} = 486

Divide both sides

\frac{8 n ^{3}}{8} = \frac{486}{8}

Divide the numbers

n^{3} = \frac{486}{8}

Cancel out the common factor 2

n^{3} = \frac{243}{4}

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

3 n^{3} = 3 \frac{243}{4}

Calculate

n = 3 \frac{243}{4}

Solution

More Steps

n = \frac{3 3 18}{2}

Alternative Form

n \approx 3.931112

Show Solution