Solve 650f^29-8 - ScanMath

Question

Simplify the expression

5850 f^{2} - 8

Evaluate

650 f^{2} \times 9 - 8

Solution

5850 f^{2} - 8

Show Solution

2 (2925 f^{2} - 4)

Evaluate

650 f^{2} \times 9 - 8

Multiply the terms

5850 f^{2} - 8

Solution

2 (2925 f^{2} - 4)

Show Solution

f_{1} = - \frac{2 13}{195}, f_{2} = \frac{2 13}{195}

Alternative Form

f_{1} \approx - 0.03698, f_{2} \approx 0.03698

Evaluate

650 f^{2} \times 9 - 8

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

650 f^{2} \times 9 - 8 = 0

Multiply the terms

5850 f^{2} - 8 = 0

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

5850 f^{2} = 0 + 8

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

5850 f^{2} = 8

Divide both sides

\frac{5850 f ^{2}}{5850} = \frac{8}{5850}

Divide the numbers

f^{2} = \frac{8}{5850}

Cancel out the common factor 2

f^{2} = \frac{4}{2925}

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

f = \pm \frac{4}{2925}

Simplify the expression

More Steps

Evaluate

\frac{4}{2925}

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

\frac{4}{2925}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{2}{2925}

Simplify the radical expression

More Steps

Evaluate

2925

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

225 \times 13

Write the number in exponential form with the base of 15

1 5^{2} \times 13

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

1 5^{2} \times 13

Reduce the index of the radical and exponent with 2

1513

\frac{2}{15 13}

Multiply by the Conjugate

\frac{2 13}{15 13 \times 13}

Multiply the numbers

More Steps

Evaluate

1513 \times 13

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

15 \times 13

Multiply the terms

195

\frac{2 13}{195}

f = \pm \frac{2 13}{195}

Separate the equation into 2 possible cases

f = \frac{2 13}{195} f = - \frac{2 13}{195}

Solution

f_{1} = - \frac{2 13}{195}, f_{2} = \frac{2 13}{195}

Alternative Form

f_{1} \approx - 0.03698, f_{2} \approx 0.03698

Show Solution