Solve c^470-702-10

Question

Simplify the expression

70 c^{4} - 712

Evaluate

c^{4} \times 70 - 702 - 10

Use the commutative property to reorder the terms

70 c^{4} - 702 - 10

Solution

70 c^{4} - 712

Show Solution

2 (35 c^{4} - 356)

Evaluate

c^{4} \times 70 - 702 - 10

Use the commutative property to reorder the terms

70 c^{4} - 702 - 10

Subtract the numbers

70 c^{4} - 712

Solution

2 (35 c^{4} - 356)

Show Solution

c_{1} = - \frac{4 15263500}{35}, c_{2} = \frac{4 15263500}{35}

Alternative Form

c_{1} \approx - 1.785852, c_{2} \approx 1.785852

Evaluate

c^{4} \times 70 - 702 - 10

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

c^{4} \times 70 - 702 - 10 = 0

Use the commutative property to reorder the terms

70 c^{4} - 702 - 10 = 0

Subtract the numbers

70 c^{4} - 712 = 0

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

70 c^{4} = 0 + 712

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

70 c^{4} = 712

Divide both sides

\frac{70 c ^{4}}{70} = \frac{712}{70}

Divide the numbers

c^{4} = \frac{712}{70}

Cancel out the common factor 2

c^{4} = \frac{356}{35}

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

c = \pm 4 \frac{356}{35}

Simplify the expression

More Steps

Evaluate

4 \frac{356}{35}

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

\frac{4 356}{4 35}

Multiply by the Conjugate

\frac{4 356 \times 4 3 5 ^{3}}{4 35 \times 4 3 5 ^{3}}

Simplify

\frac{4 356 \times 4 42875}{4 35 \times 4 3 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

4356 \times 442875

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

4 356 \times 42875

Calculate the product

415263500

\frac{4 15263500}{4 35 \times 4 3 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

435 \times 4 3 5^{3}

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

4 35 \times 3 5^{3}

Calculate the product

4 3 5^{4}

Reduce the index of the radical and exponent with 4

35

\frac{4 15263500}{35}

c = \pm \frac{4 15263500}{35}

Separate the equation into 2 possible cases

c = \frac{4 15263500}{35} c = - \frac{4 15263500}{35}

Solution

c_{1} = - \frac{4 15263500}{35}, c_{2} = \frac{4 15263500}{35}

Alternative Form

c_{1} \approx - 1.785852, c_{2} \approx 1.785852

Show Solution