Solve n^23n-120 - ScanMath

Question

Simplify the expression

3 n^{3} - 120

Evaluate

n^{2} \times 3 n - 120

Solution

More Steps

Evaluate

n^{2} \times 3 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 3

Add the numbers

n^{3} \times 3

Use the commutative property to reorder the terms

3 n^{3}

3 n^{3} - 120

Show Solution

3 (n^{3} - 40)

Evaluate

n^{2} \times 3 n - 120

Multiply

More Steps

Evaluate

n^{2} \times 3 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 3

Add the numbers

n^{3} \times 3

Use the commutative property to reorder the terms

3 n^{3}

3 n^{3} - 120

Solution

3 (n^{3} - 40)

Show Solution

n = 235

Alternative Form

n \approx 3.419952

Evaluate

n^{2} \times 3 n - 120

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

n^{2} \times 3 n - 120 = 0

Multiply

More Steps

Multiply the terms

n^{2} \times 3 n

Multiply the terms with the same base by adding their exponents

n^{2 + 1} \times 3

Add the numbers

n^{3} \times 3

Use the commutative property to reorder the terms

3 n^{3}

3 n^{3} - 120 = 0

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

3 n^{3} = 0 + 120

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

3 n^{3} = 120

Divide both sides

\frac{3 n ^{3}}{3} = \frac{120}{3}

Divide the numbers

n^{3} = \frac{120}{3}

Divide the numbers

More Steps

Evaluate

\frac{120}{3}

Reduce the numbers

\frac{40}{1}

Calculate

40

n^{3} = 40

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

3 n^{3} = 340

Calculate

n = 340

Solution

More Steps

Evaluate

340

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

3 8 \times 5

Write the number in exponential form with the base of 2

3 2^{3} \times 5

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

3 2^{3} \times 35

Reduce the index of the radical and exponent with 3

235

n = 235

Alternative Form

n \approx 3.419952

Show Solution