Solve f^2736-3056

Question

Simplify the expression

736 f^{2} - 3056

Evaluate

f^{2} \times 736 - 3056

Solution

736 f^{2} - 3056

Show Solution

16 (46 f^{2} - 191)

Evaluate

f^{2} \times 736 - 3056

Use the commutative property to reorder the terms

736 f^{2} - 3056

Solution

16 (46 f^{2} - 191)

Show Solution

f_{1} = - \frac{8786}{46}, f_{2} = \frac{8786}{46}

Alternative Form

f_{1} \approx - 2.037688, f_{2} \approx 2.037688

Evaluate

f^{2} \times 736 - 3056

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

f^{2} \times 736 - 3056 = 0

Use the commutative property to reorder the terms

736 f^{2} - 3056 = 0

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

736 f^{2} = 0 + 3056

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

736 f^{2} = 3056

Divide both sides

\frac{736 f ^{2}}{736} = \frac{3056}{736}

Divide the numbers

f^{2} = \frac{3056}{736}

Cancel out the common factor 16

f^{2} = \frac{191}{46}

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

f = \pm \frac{191}{46}

Simplify the expression

More Steps

Evaluate

\frac{191}{46}

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

\frac{191}{46}

Multiply by the Conjugate

\frac{191 \times 46}{46 \times 46}

Multiply the numbers

More Steps

Evaluate

191 \times 46

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

191 \times 46

Calculate the product

8786

\frac{8786}{46 \times 46}

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

\frac{8786}{46}

f = \pm \frac{8786}{46}

Separate the equation into 2 possible cases

f = \frac{8786}{46} f = - \frac{8786}{46}

Solution

f_{1} = - \frac{8786}{46}, f_{2} = \frac{8786}{46}

Alternative Form

f_{1} \approx - 2.037688, f_{2} \approx 2.037688

Show Solution