Solve 14-35 f^4 - ScanMath

Question

Factor the expression

7 (2 - 5 f^{4})

Evaluate

14 - 35 f^{4}

Solution

7 (2 - 5 f^{4})

Show Solution

f_{1} = - \frac{4 250}{5}, f_{2} = \frac{4 250}{5}

Alternative Form

f_{1} \approx - 0.795271, f_{2} \approx 0.795271

Evaluate

14 - 35 f^{4}

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

14 - 35 f^{4} = 0

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

- 35 f^{4} = 0 - 14

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

- 35 f^{4} = - 14

Change the signs on both sides of the equation

35 f^{4} = 14

Divide both sides

\frac{35 f ^{4}}{35} = \frac{14}{35}

Divide the numbers

f^{4} = \frac{14}{35}

Cancel out the common factor 7

f^{4} = \frac{2}{5}

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

f = \pm 4 \frac{2}{5}

Simplify the expression

More Steps

Evaluate

4 \frac{2}{5}

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

\frac{4 2}{4 5}

Multiply by the Conjugate

\frac{4 2 \times 4 5 ^{3}}{4 5 \times 4 5 ^{3}}

Simplify

\frac{4 2 \times 4 125}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 4125

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

4 2 \times 125

Calculate the product

4250

\frac{4 250}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

45 \times 4 5^{3}

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

4 5 \times 5^{3}

Calculate the product

4 5^{4}

Reduce the index of the radical and exponent with 4

5

\frac{4 250}{5}

f = \pm \frac{4 250}{5}

Separate the equation into 2 possible cases

f = \frac{4 250}{5} f = - \frac{4 250}{5}

Solution

f_{1} = - \frac{4 250}{5}, f_{2} = \frac{4 250}{5}

Alternative Form

f_{1} \approx - 0.795271, f_{2} \approx 0.795271

Show Solution