Solve f^26-4-0 - ScanMath

Question

Simplify the expression

6 f^{2} - 4

Evaluate

f^{2} \times 6 - 4 - 0

Use the commutative property to reorder the terms

6 f^{2} - 4 - 0

Solution

6 f^{2} - 4

Show Solution

2 (3 f^{2} - 2)

Evaluate

f^{2} \times 6 - 4 - 0

Use the commutative property to reorder the terms

6 f^{2} - 4 - 0

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

6 f^{2} - 4

Solution

2 (3 f^{2} - 2)

Show Solution

f_{1} = - \frac{6}{3}, f_{2} = \frac{6}{3}

Alternative Form

f_{1} \approx - 0.816497, f_{2} \approx 0.816497

Evaluate

f^{2} \times 6 - 4 - 0

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

f^{2} \times 6 - 4 - 0 = 0

Use the commutative property to reorder the terms

6 f^{2} - 4 - 0 = 0

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

6 f^{2} - 4 = 0

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

6 f^{2} = 0 + 4

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

6 f^{2} = 4

Divide both sides

\frac{6 f ^{2}}{6} = \frac{4}{6}

Divide the numbers

f^{2} = \frac{4}{6}

Cancel out the common factor 2

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

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

f = \pm \frac{2}{3}

Simplify the expression

More Steps

Evaluate

\frac{2}{3}

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

\frac{2}{3}

Multiply by the Conjugate

\frac{2 \times 3}{3 \times 3}

Multiply the numbers

More Steps

Evaluate

2 \times 3

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

2 \times 3

Calculate the product

6

\frac{6}{3 \times 3}

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

\frac{6}{3}

f = \pm \frac{6}{3}

Separate the equation into 2 possible cases

f = \frac{6}{3} f = - \frac{6}{3}

Solution

f_{1} = - \frac{6}{3}, f_{2} = \frac{6}{3}

Alternative Form

f_{1} \approx - 0.816497, f_{2} \approx 0.816497

Show Solution