Solve 18-120f^4 - ScanMath

Question

Factor the expression

6 (3 - 20 f^{4})

Evaluate

18 - 120 f^{4}

Solution

6 (3 - 20 f^{4})

Show Solution

f_{1} = - \frac{4 1500}{10}, f_{2} = \frac{4 1500}{10}

Alternative Form

f_{1} \approx - 0.622333, f_{2} \approx 0.622333

Evaluate

18 - 120 f^{4}

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

18 - 120 f^{4} = 0

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

- 120 f^{4} = 0 - 18

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

- 120 f^{4} = - 18

Change the signs on both sides of the equation

120 f^{4} = 18

Divide both sides

\frac{120 f ^{4}}{120} = \frac{18}{120}

Divide the numbers

f^{4} = \frac{18}{120}

Cancel out the common factor 6

f^{4} = \frac{3}{20}

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

f = \pm 4 \frac{3}{20}

Simplify the expression

More Steps

Evaluate

4 \frac{3}{20}

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

\frac{4 3}{4 20}

Multiply by the Conjugate

\frac{4 3 \times 4 2 0 ^{3}}{4 20 \times 4 2 0 ^{3}}

Simplify

\frac{4 3 \times 2 4 500}{4 20 \times 4 2 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

43 \times 24500

Multiply the terms

41500 \times 2

Use the commutative property to reorder the terms

241500

\frac{2 4 1500}{4 20 \times 4 2 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

420 \times 4 2 0^{3}

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

4 20 \times 2 0^{3}

Calculate the product

4 2 0^{4}

Reduce the index of the radical and exponent with 4

20

\frac{2 4 1500}{20}

Cancel out the common factor 2

\frac{4 1500}{10}

f = \pm \frac{4 1500}{10}

Separate the equation into 2 possible cases

f = \frac{4 1500}{10} f = - \frac{4 1500}{10}

Solution

f_{1} = - \frac{4 1500}{10}, f_{2} = \frac{4 1500}{10}

Alternative Form

f_{1} \approx - 0.622333, f_{2} \approx 0.622333

Show Solution