Solve c^4227-27 - ScanMath

Question

Simplify the expression

227 c^{4} - 27

Evaluate

c^{4} \times 227 - 27

Solution

227 c^{4} - 27

Show Solution

c_{1} = - \frac{4 68 1 ^{3}}{227}, c_{2} = \frac{4 68 1 ^{3}}{227}

Alternative Form

c_{1} \approx - 0.587265, c_{2} \approx 0.587265

Evaluate

c^{4} \times 227 - 27

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

c^{4} \times 227 - 27 = 0

Use the commutative property to reorder the terms

227 c^{4} - 27 = 0

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

227 c^{4} = 0 + 27

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

227 c^{4} = 27

Divide both sides

\frac{227 c ^{4}}{227} = \frac{27}{227}

Divide the numbers

c^{4} = \frac{27}{227}

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

c = \pm 4 \frac{27}{227}

Simplify the expression

More Steps

Evaluate

4 \frac{27}{227}

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

\frac{4 27}{4 227}

Multiply by the Conjugate

\frac{4 27 \times 4 22 7 ^{3}}{4 227 \times 4 22 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

427 \times 4 22 7^{3}

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

4 27 \times 22 7^{3}

Calculate the product

4 68 1^{3}

\frac{4 68 1 ^{3}}{4 227 \times 4 22 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

4227 \times 4 22 7^{3}

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

4 227 \times 22 7^{3}

Calculate the product

4 22 7^{4}

Reduce the index of the radical and exponent with 4

227

\frac{4 68 1 ^{3}}{227}

c = \pm \frac{4 68 1 ^{3}}{227}

Separate the equation into 2 possible cases

c = \frac{4 68 1 ^{3}}{227} c = - \frac{4 68 1 ^{3}}{227}

Solution

c_{1} = - \frac{4 68 1 ^{3}}{227}, c_{2} = \frac{4 68 1 ^{3}}{227}

Alternative Form

c_{1} \approx - 0.587265, c_{2} \approx 0.587265

Show Solution