Solve f^2030-9 - ScanMath

Question

Simplify the expression

30 f^{2} - 9

Evaluate

f^{2} \times 30 - 9

Solution

30 f^{2} - 9

Show Solution

3 (10 f^{2} - 3)

Evaluate

f^{2} \times 30 - 9

Use the commutative property to reorder the terms

30 f^{2} - 9

Solution

3 (10 f^{2} - 3)

Show Solution

f_{1} = - \frac{30}{10}, f_{2} = \frac{30}{10}

Alternative Form

f_{1} \approx - 0.547723, f_{2} \approx 0.547723

Evaluate

f^{2} \times 30 - 9

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

f^{2} \times 30 - 9 = 0

Use the commutative property to reorder the terms

30 f^{2} - 9 = 0

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

30 f^{2} = 0 + 9

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

30 f^{2} = 9

Divide both sides

\frac{30 f ^{2}}{30} = \frac{9}{30}

Divide the numbers

f^{2} = \frac{9}{30}

Cancel out the common factor 3

f^{2} = \frac{3}{10}

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

f = \pm \frac{3}{10}

Simplify the expression

More Steps

Evaluate

\frac{3}{10}

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

\frac{3}{10}

Multiply by the Conjugate

\frac{3 \times 10}{10 \times 10}

Multiply the numbers

More Steps

Evaluate

3 \times 10

The product of roots with the same index is equal to the root of the product

3 \times 10

Calculate the product

30

\frac{30}{10 \times 10}

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

\frac{30}{10}

f = \pm \frac{30}{10}

Separate the equation into 2 possible cases

f = \frac{30}{10} f = - \frac{30}{10}

Solution

f_{1} = - \frac{30}{10}, f_{2} = \frac{30}{10}

Alternative Form

f_{1} \approx - 0.547723, f_{2} \approx 0.547723

Show Solution