Solve 18C^454-2 - ScanMath

Question

Simplify the expression

972 C^{4} - 2

Evaluate

18 C^{4} \times 54 - 2

Solution

972 C^{4} - 2

Show Solution

2 (486 C^{4} - 1)

Evaluate

18 C^{4} \times 54 - 2

Multiply the terms

972 C^{4} - 2

Solution

2 (486 C^{4} - 1)

Show Solution

C_{1} = - \frac{4 216}{18}, C_{2} = \frac{4 216}{18}

Alternative Form

C_{1} \approx - 0.212981, C_{2} \approx 0.212981

Evaluate

18 C^{4} \times 54 - 2

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

18 C^{4} \times 54 - 2 = 0

Multiply the terms

972 C^{4} - 2 = 0

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

972 C^{4} = 0 + 2

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

972 C^{4} = 2

Divide both sides

\frac{972 C ^{4}}{972} = \frac{2}{972}

Divide the numbers

C^{4} = \frac{2}{972}

Cancel out the common factor 2

C^{4} = \frac{1}{486}

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

C = \pm 4 \frac{1}{486}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{486}

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

\frac{4 1}{4 486}

Simplify the radical expression

\frac{1}{4 486}

Simplify the radical expression

More Steps

Evaluate

4486

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

4 81 \times 6

Write the number in exponential form with the base of 3

4 3^{4} \times 6

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

4 3^{4} \times 46

Reduce the index of the radical and exponent with 4

346

\frac{1}{3 4 6}

Multiply by the Conjugate

\frac{4 6 ^{3}}{3 4 6 \times 4 6 ^{3}}

Simplify

\frac{4 216}{3 4 6 \times 4 6 ^{3}}

Multiply the numbers

More Steps

Evaluate

346 \times 4 6^{3}

Multiply the terms

3 \times 6

Multiply the terms

18

\frac{4 216}{18}

C = \pm \frac{4 216}{18}

Separate the equation into 2 possible cases

C = \frac{4 216}{18} C = - \frac{4 216}{18}

Solution

C_{1} = - \frac{4 216}{18}, C_{2} = \frac{4 216}{18}

Alternative Form

C_{1} \approx - 0.212981, C_{2} \approx 0.212981

Show Solution