Solve f^292-4 - ScanMath

Question

Simplify the expression

92 f^{2} - 4

Evaluate

f^{2} \times 92 - 4

Solution

92 f^{2} - 4

Show Solution

4 (23 f^{2} - 1)

Evaluate

f^{2} \times 92 - 4

Use the commutative property to reorder the terms

92 f^{2} - 4

Solution

4 (23 f^{2} - 1)

Show Solution

f_{1} = - \frac{23}{23}, f_{2} = \frac{23}{23}

Alternative Form

f_{1} \approx - 0.208514, f_{2} \approx 0.208514

Evaluate

f^{2} \times 92 - 4

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

f^{2} \times 92 - 4 = 0

Use the commutative property to reorder the terms

92 f^{2} - 4 = 0

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

92 f^{2} = 0 + 4

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

92 f^{2} = 4

Divide both sides

\frac{92 f ^{2}}{92} = \frac{4}{92}

Divide the numbers

f^{2} = \frac{4}{92}

Cancel out the common factor 4

f^{2} = \frac{1}{23}

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

f = \pm \frac{1}{23}

Simplify the expression

More Steps

Evaluate

\frac{1}{23}

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

\frac{1}{23}

Simplify the radical expression

\frac{1}{23}

Multiply by the Conjugate

\frac{23}{23 \times 23}

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

\frac{23}{23}

f = \pm \frac{23}{23}

Separate the equation into 2 possible cases

f = \frac{23}{23} f = - \frac{23}{23}

Solution

f_{1} = - \frac{23}{23}, f_{2} = \frac{23}{23}

Alternative Form

f_{1} \approx - 0.208514, f_{2} \approx 0.208514

Show Solution