Solve n^2 2n -96 - ScanMath

Question

Simplify the expression

2 n^{3} - 96

Evaluate

n^{2} \times 2 n - 96

Solution

More Steps

Evaluate

n^{2} \times 2 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 2

Add the numbers

n^{3} \times 2

Use the commutative property to reorder the terms

2 n^{3}

2 n^{3} - 96

Show Solution

2 (n^{3} - 48)

Evaluate

n^{2} \times 2 n - 96

Multiply

More Steps

Evaluate

n^{2} \times 2 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 2

Add the numbers

n^{3} \times 2

Use the commutative property to reorder the terms

2 n^{3}

2 n^{3} - 96

Solution

2 (n^{3} - 48)

Show Solution

n = 236

Alternative Form

n \approx 3.634241

Evaluate

n^{2} \times 2 n - 96

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

n^{2} \times 2 n - 96 = 0

Multiply

More Steps

Multiply the terms

n^{2} \times 2 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 2

Add the numbers

n^{3} \times 2

Use the commutative property to reorder the terms

2 n^{3}

2 n^{3} - 96 = 0

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

2 n^{3} = 0 + 96

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

2 n^{3} = 96

Divide both sides

\frac{2 n ^{3}}{2} = \frac{96}{2}

Divide the numbers

n^{3} = \frac{96}{2}

Divide the numbers

More Steps

Evaluate

\frac{96}{2}

Reduce the numbers

\frac{48}{1}

Calculate

48

n^{3} = 48

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

3 n^{3} = 348

Calculate

n = 348

Solution

More Steps

Evaluate

348

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

3 8 \times 6

Write the number in exponential form with the base of 2

3 2^{3} \times 6

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

3 2^{3} \times 36

Reduce the index of the radical and exponent with 3

236

n = 236

Alternative Form

n \approx 3.634241

Show Solution