Solve 23100-f^22 - ScanMath

Question

Simplify the expression

23100 - 2 f^{2}

Evaluate

23100 - f^{2} \times 2

Solution

23100 - 2 f^{2}

Show Solution

2 (11550 - f^{2})

Evaluate

23100 - f^{2} \times 2

Use the commutative property to reorder the terms

23100 - 2 f^{2}

Solution

2 (11550 - f^{2})

Show Solution

f_{1} = - 5462, f_{2} = 5462

Alternative Form

f_{1} \approx - 107.470926, f_{2} \approx 107.470926

Evaluate

23100 - f^{2} \times 2

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

23100 - f^{2} \times 2 = 0

Use the commutative property to reorder the terms

23100 - 2 f^{2} = 0

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

- 2 f^{2} = 0 - 23100

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

- 2 f^{2} = - 23100

Change the signs on both sides of the equation

2 f^{2} = 23100

Divide both sides

\frac{2 f ^{2}}{2} = \frac{23100}{2}

Divide the numbers

f^{2} = \frac{23100}{2}

Divide the numbers

More Steps

Evaluate

\frac{23100}{2}

Reduce the numbers

\frac{11550}{1}

Calculate

11550

f^{2} = 11550

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

f = \pm 11550

Simplify the expression

More Steps

Evaluate

11550

Write the expression as a product where the root of one of the factors can be evaluated

25 \times 462

Write the number in exponential form with the base of 5

5^{2} \times 462

The root of a product is equal to the product of the roots of each factor

5^{2} \times 462

Reduce the index of the radical and exponent with 2

5462

f = \pm 5462

Separate the equation into 2 possible cases

f = 5462 f = - 5462

Solution

f_{1} = - 5462, f_{2} = 5462

Alternative Form

f_{1} \approx - 107.470926, f_{2} \approx 107.470926

Show Solution