Solve 18-70 f^2 - ScanMath

Question

Factor the expression

2 (9 - 35 f^{2})

Evaluate

18 - 70 f^{2}

Solution

2 (9 - 35 f^{2})

Show Solution

f_{1} = - \frac{3 35}{35}, f_{2} = \frac{3 35}{35}

Alternative Form

f_{1} \approx - 0.507093, f_{2} \approx 0.507093

Evaluate

18 - 70 f^{2}

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

18 - 70 f^{2} = 0

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

- 70 f^{2} = 0 - 18

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

- 70 f^{2} = - 18

Change the signs on both sides of the equation

70 f^{2} = 18

Divide both sides

\frac{70 f ^{2}}{70} = \frac{18}{70}

Divide the numbers

f^{2} = \frac{18}{70}

Cancel out the common factor 2

f^{2} = \frac{9}{35}

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

f = \pm \frac{9}{35}

Simplify the expression

More Steps

Evaluate

\frac{9}{35}

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

\frac{9}{35}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{35}

Multiply by the Conjugate

\frac{3 35}{35 \times 35}

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

\frac{3 35}{35}

f = \pm \frac{3 35}{35}

Separate the equation into 2 possible cases

f = \frac{3 35}{35} f = - \frac{3 35}{35}

Solution

f_{1} = - \frac{3 35}{35}, f_{2} = \frac{3 35}{35}

Alternative Form

f_{1} \approx - 0.507093, f_{2} \approx 0.507093

Show Solution