Solve 18C^454-6 - ScanMath

Question

Simplify the expression

972 C^{4} - 6

Evaluate

18 C^{4} \times 54 - 6

Solution

972 C^{4} - 6

Show Solution

6 (162 C^{4} - 1)

Evaluate

18 C^{4} \times 54 - 6

Multiply the terms

972 C^{4} - 6

Solution

6 (162 C^{4} - 1)

Show Solution

C_{1} = - \frac{4 8}{6}, C_{2} = \frac{4 8}{6}

Alternative Form

C_{1} \approx - 0.280299, C_{2} \approx 0.280299

Evaluate

18 C^{4} \times 54 - 6

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

18 C^{4} \times 54 - 6 = 0

Multiply the terms

972 C^{4} - 6 = 0

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

972 C^{4} = 0 + 6

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

972 C^{4} = 6

Divide both sides

\frac{972 C ^{4}}{972} = \frac{6}{972}

Divide the numbers

C^{4} = \frac{6}{972}

Cancel out the common factor 6

C^{4} = \frac{1}{162}

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

C = \pm 4 \frac{1}{162}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{162}

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

\frac{4 1}{4 162}

Simplify the radical expression

\frac{1}{4 162}

Simplify the radical expression

More Steps

Evaluate

4162

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

4 81 \times 2

Write the number in exponential form with the base of 3

4 3^{4} \times 2

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

4 3^{4} \times 42

Reduce the index of the radical and exponent with 4

342

\frac{1}{3 4 2}

Multiply by the Conjugate

\frac{4 2 ^{3}}{3 4 2 \times 4 2 ^{3}}

Simplify

\frac{4 8}{3 4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

342 \times 4 2^{3}

Multiply the terms

3 \times 2

Multiply the terms

6

\frac{4 8}{6}

C = \pm \frac{4 8}{6}

Separate the equation into 2 possible cases

C = \frac{4 8}{6} C = - \frac{4 8}{6}

Solution

C_{1} = - \frac{4 8}{6}, C_{2} = \frac{4 8}{6}

Alternative Form

C_{1} \approx - 0.280299, C_{2} \approx 0.280299

Show Solution