Solve f^2120-16 - ScanMath

Question

Simplify the expression

120 f^{2} - 16

Evaluate

f^{2} \times 120 - 16

Solution

120 f^{2} - 16

Show Solution

8 (15 f^{2} - 2)

Evaluate

f^{2} \times 120 - 16

Use the commutative property to reorder the terms

120 f^{2} - 16

Solution

8 (15 f^{2} - 2)

Show Solution

f_{1} = - \frac{30}{15}, f_{2} = \frac{30}{15}

Alternative Form

f_{1} \approx - 0.365148, f_{2} \approx 0.365148

Evaluate

f^{2} \times 120 - 16

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

f^{2} \times 120 - 16 = 0

Use the commutative property to reorder the terms

120 f^{2} - 16 = 0

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

120 f^{2} = 0 + 16

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

120 f^{2} = 16

Divide both sides

\frac{120 f ^{2}}{120} = \frac{16}{120}

Divide the numbers

f^{2} = \frac{16}{120}

Cancel out the common factor 8

f^{2} = \frac{2}{15}

Take the root of both sides of the equation and remember to use both positive and negative roots

f = \pm \frac{2}{15}

Simplify the expression

More Steps

Evaluate

\frac{2}{15}

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

\frac{2}{15}

Multiply by the Conjugate

\frac{2 \times 15}{15 \times 15}

Multiply the numbers

More Steps

Evaluate

2 \times 15

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

2 \times 15

Calculate the product

30

\frac{30}{15 \times 15}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{30}{15}

f = \pm \frac{30}{15}

Separate the equation into 2 possible cases

f = \frac{30}{15} f = - \frac{30}{15}

Solution

f_{1} = - \frac{30}{15}, f_{2} = \frac{30}{15}

Alternative Form

f_{1} \approx - 0.365148, f_{2} \approx 0.365148

Show Solution