Solve 4 -82f^2 -6f^2

Question

Simplify the expression

4 - 88 f^{2}

Evaluate

4 - 82 f^{2} - 6 f^{2}

Solution

More Steps

Evaluate

- 82 f^{2} - 6 f^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 82 - 6) f^{2}

Subtract the numbers

- 88 f^{2}

4 - 88 f^{2}

Show Solution

4 (1 - 22 f^{2})

Evaluate

4 - 82 f^{2} - 6 f^{2}

Subtract the terms

More Steps

Evaluate

- 82 f^{2} - 6 f^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 82 - 6) f^{2}

Subtract the numbers

- 88 f^{2}

4 - 88 f^{2}

Solution

4 (1 - 22 f^{2})

Show Solution

f_{1} = - \frac{22}{22}, f_{2} = \frac{22}{22}

Alternative Form

f_{1} \approx - 0.213201, f_{2} \approx 0.213201

Evaluate

4 - 82 f^{2} - 6 f^{2}

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

4 - 82 f^{2} - 6 f^{2} = 0

Subtract the terms

More Steps

Simplify

4 - 82 f^{2} - 6 f^{2}

Subtract the terms

More Steps

Evaluate

- 82 f^{2} - 6 f^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 82 - 6) f^{2}

Subtract the numbers

- 88 f^{2}

4 - 88 f^{2}

4 - 88 f^{2} = 0

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

- 88 f^{2} = 0 - 4

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

- 88 f^{2} = - 4

Change the signs on both sides of the equation

88 f^{2} = 4

Divide both sides

\frac{88 f ^{2}}{88} = \frac{4}{88}

Divide the numbers

f^{2} = \frac{4}{88}

Cancel out the common factor 4

f^{2} = \frac{1}{22}

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

f = \pm \frac{1}{22}

Simplify the expression

More Steps

Evaluate

\frac{1}{22}

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

\frac{1}{22}

Simplify the radical expression

\frac{1}{22}

Multiply by the Conjugate

\frac{22}{22 \times 22}

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

\frac{22}{22}

f = \pm \frac{22}{22}

Separate the equation into 2 possible cases

f = \frac{22}{22} f = - \frac{22}{22}

Solution

f_{1} = - \frac{22}{22}, f_{2} = \frac{22}{22}

Alternative Form

f_{1} \approx - 0.213201, f_{2} \approx 0.213201

Show Solution