Solve 12c^442020-45

Question

Simplify the expression

504240 c^{4} - 45

Evaluate

12 c^{4} \times 42020 - 45

Solution

504240 c^{4} - 45

Show Solution

15 (33616 c^{4} - 3)

Evaluate

12 c^{4} \times 42020 - 45

Multiply the terms

504240 c^{4} - 45

Solution

15 (33616 c^{4} - 3)

Show Solution

c_{1} = - \frac{4 3 \times 210 1 ^{3}}{4202}, c_{2} = \frac{4 3 \times 210 1 ^{3}}{4202}

Alternative Form

c_{1} \approx - 0.097195, c_{2} \approx 0.097195

Evaluate

12 c^{4} \times 42020 - 45

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

12 c^{4} \times 42020 - 45 = 0

Multiply the terms

504240 c^{4} - 45 = 0

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

504240 c^{4} = 0 + 45

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

504240 c^{4} = 45

Divide both sides

\frac{504240 c ^{4}}{504240} = \frac{45}{504240}

Divide the numbers

c^{4} = \frac{45}{504240}

Cancel out the common factor 15

c^{4} = \frac{3}{33616}

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

c = \pm 4 \frac{3}{33616}

Simplify the expression

More Steps

Evaluate

4 \frac{3}{33616}

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

\frac{4 3}{4 33616}

Simplify the radical expression

More Steps

Evaluate

433616

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

4 16 \times 2101

Write the number in exponential form with the base of 2

4 2^{4} \times 2101

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

4 2^{4} \times 42101

Reduce the index of the radical and exponent with 4

242101

\frac{4 3}{2 4 2101}

Multiply by the Conjugate

\frac{4 3 \times 4 210 1 ^{3}}{2 4 2101 \times 4 210 1 ^{3}}

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

\frac{4 3 \times 210 1 ^{3}}{2 4 2101 \times 4 210 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

242101 \times 4 210 1^{3}

Multiply the terms

2 \times 2101

Multiply the terms

4202

\frac{4 3 \times 210 1 ^{3}}{4202}

c = \pm \frac{4 3 \times 210 1 ^{3}}{4202}

Separate the equation into 2 possible cases

c = \frac{4 3 \times 210 1 ^{3}}{4202} c = - \frac{4 3 \times 210 1 ^{3}}{4202}

Solution

c_{1} = - \frac{4 3 \times 210 1 ^{3}}{4202}, c_{2} = \frac{4 3 \times 210 1 ^{3}}{4202}

Alternative Form

c_{1} \approx - 0.097195, c_{2} \approx 0.097195

Show Solution