Solve f^20600-1 - ScanMath

Question

Simplify the expression

600 f^{2} - 1

Evaluate

f^{2} \times 600 - 1

Solution

600 f^{2} - 1

Show Solution

f_{1} = - \frac{6}{60}, f_{2} = \frac{6}{60}

Alternative Form

f_{1} \approx - 0.040825, f_{2} \approx 0.040825

Evaluate

f^{2} \times 600 - 1

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

f^{2} \times 600 - 1 = 0

Use the commutative property to reorder the terms

600 f^{2} - 1 = 0

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

600 f^{2} = 0 + 1

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

600 f^{2} = 1

Divide both sides

\frac{600 f ^{2}}{600} = \frac{1}{600}

Divide the numbers

f^{2} = \frac{1}{600}

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

f = \pm \frac{1}{600}

Simplify the expression

More Steps

Evaluate

\frac{1}{600}

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

\frac{1}{600}

Simplify the radical expression

\frac{1}{600}

Simplify the radical expression

More Steps

Evaluate

600

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

100 \times 6

Write the number in exponential form with the base of 10

1 0^{2} \times 6

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

1 0^{2} \times 6

Reduce the index of the radical and exponent with 2

106

\frac{1}{10 6}

Multiply by the Conjugate

\frac{6}{10 6 \times 6}

Multiply the numbers

More Steps

Evaluate

106 \times 6

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

10 \times 6

Multiply the terms

60

\frac{6}{60}

f = \pm \frac{6}{60}

Separate the equation into 2 possible cases

f = \frac{6}{60} f = - \frac{6}{60}

Solution

f_{1} = - \frac{6}{60}, f_{2} = \frac{6}{60}

Alternative Form

f_{1} \approx - 0.040825, f_{2} \approx 0.040825

Show Solution