Solve c^40896-4 - ScanMath

Question

Simplify the expression

Solution

896 c^{4} - 4

Evaluate

c^{4} \times 896 - 4

Solution

896 c^{4} - 4

Show Solution

Factor the expression

Factor

4 (224 c^{4} - 1)

Evaluate

c^{4} \times 896 - 4

Use the commutative property to reorder the terms

896 c^{4} - 4

Solution

4 (224 c^{4} - 1)

Show Solution

Find the roots

Find the roots of the algebra expression

c_{1} = - \frac{4 2744}{28}, c_{2} = \frac{4 2744}{28}

Alternative Form

c_{1} \approx - 0.258487, c_{2} \approx 0.258487

Evaluate

c^{4} \times 896 - 4

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

c^{4} \times 896 - 4 = 0

Use the commutative property to reorder the terms

896 c^{4} - 4 = 0

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

896 c^{4} = 0 + 4

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

896 c^{4} = 4

Divide both sides

\frac{896 c ^{4}}{896} = \frac{4}{896}

Divide the numbers

c^{4} = \frac{4}{896}

Cancel out the common factor 4

c^{4} = \frac{1}{224}

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

c = \pm 4 \frac{1}{224}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{224}

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

\frac{4 1}{4 224}

Simplify the radical expression

\frac{1}{4 224}

Simplify the radical expression

More Steps

Evaluate

4224

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

4 16 \times 14

Write the number in exponential form with the base of 2

4 2^{4} \times 14

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

4 2^{4} \times 414

Reduce the index of the radical and exponent with 4

2414

\frac{1}{2 4 14}

Multiply by the Conjugate

\frac{4 1 4 ^{3}}{2 4 14 \times 4 1 4 ^{3}}

Simplify

\frac{4 2744}{2 4 14 \times 4 1 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

2414 \times 4 1 4^{3}

Multiply the terms

2 \times 14

Multiply the terms

28

\frac{4 2744}{28}

c = \pm \frac{4 2744}{28}

Separate the equation into 2 possible cases

c = \frac{4 2744}{28} c = - \frac{4 2744}{28}

Solution

c_{1} = - \frac{4 2744}{28}, c_{2} = \frac{4 2744}{28}

Alternative Form

c_{1} \approx - 0.258487, c_{2} \approx 0.258487

Show Solution

C^40896 4

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression