Solve 24-70 f^4 - ScanMath

Question

Factor the expression

2 (12 - 35 f^{4})

Evaluate

24 - 70 f^{4}

Solution

2 (12 - 35 f^{4})

Show Solution

f_{1} = - \frac{4 514500}{35}, f_{2} = \frac{4 514500}{35}

Alternative Form

f_{1} \approx - 0.765206, f_{2} \approx 0.765206

Evaluate

24 - 70 f^{4}

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

24 - 70 f^{4} = 0

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

- 70 f^{4} = 0 - 24

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

- 70 f^{4} = - 24

Change the signs on both sides of the equation

70 f^{4} = 24

Divide both sides

\frac{70 f ^{4}}{70} = \frac{24}{70}

Divide the numbers

f^{4} = \frac{24}{70}

Cancel out the common factor 2

f^{4} = \frac{12}{35}

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

f = \pm 4 \frac{12}{35}

Simplify the expression

More Steps

Evaluate

4 \frac{12}{35}

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

\frac{4 12}{4 35}

Multiply by the Conjugate

\frac{4 12 \times 4 3 5 ^{3}}{4 35 \times 4 3 5 ^{3}}

Simplify

\frac{4 12 \times 4 42875}{4 35 \times 4 3 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

412 \times 442875

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

4 12 \times 42875

Calculate the product

4514500

\frac{4 514500}{4 35 \times 4 3 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

435 \times 4 3 5^{3}

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

4 35 \times 3 5^{3}

Calculate the product

4 3 5^{4}

Reduce the index of the radical and exponent with 4

35

\frac{4 514500}{35}

f = \pm \frac{4 514500}{35}

Separate the equation into 2 possible cases

f = \frac{4 514500}{35} f = - \frac{4 514500}{35}

Solution

f_{1} = - \frac{4 514500}{35}, f_{2} = \frac{4 514500}{35}

Alternative Form

f_{1} \approx - 0.765206, f_{2} \approx 0.765206

Show Solution