Solve 58920-f^2500

Question

Simplify the expression

58920 - 500 f^{2}

Evaluate

58920 - f^{2} \times 500

Solution

58920 - 500 f^{2}

Show Solution

20 (2946 - 25 f^{2})

Evaluate

58920 - f^{2} \times 500

Use the commutative property to reorder the terms

58920 - 500 f^{2}

Solution

20 (2946 - 25 f^{2})

Show Solution

f_{1} = - \frac{2946}{5}, f_{2} = \frac{2946}{5}

Alternative Form

f_{1} \approx - 10.855413, f_{2} \approx 10.855413

Evaluate

58920 - f^{2} \times 500

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

58920 - f^{2} \times 500 = 0

Use the commutative property to reorder the terms

58920 - 500 f^{2} = 0

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

- 500 f^{2} = 0 - 58920

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

- 500 f^{2} = - 58920

Change the signs on both sides of the equation

500 f^{2} = 58920

Divide both sides

\frac{500 f ^{2}}{500} = \frac{58920}{500}

Divide the numbers

f^{2} = \frac{58920}{500}

Cancel out the common factor 20

f^{2} = \frac{2946}{25}

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

f = \pm \frac{2946}{25}

Simplify the expression

More Steps

Evaluate

\frac{2946}{25}

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

\frac{2946}{25}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{2946}{5}

f = \pm \frac{2946}{5}

Separate the equation into 2 possible cases

f = \frac{2946}{5} f = - \frac{2946}{5}

Solution

f_{1} = - \frac{2946}{5}, f_{2} = \frac{2946}{5}

Alternative Form

f_{1} \approx - 10.855413, f_{2} \approx 10.855413

Show Solution