Solve c^628-50300

Question

Simplify the expression

28 c^{6} - 50300

Evaluate

c^{6} \times 28 - 50300

Solution

28 c^{6} - 50300

Show Solution

4 (7 c^{6} - 12575)

Evaluate

c^{6} \times 28 - 50300

Use the commutative property to reorder the terms

28 c^{6} - 50300

Solution

4 (7 c^{6} - 12575)

Show Solution

c_{1} = - \frac{6 211348025}{7}, c_{2} = \frac{6 211348025}{7}

Alternative Form

c_{1} \approx - 3.486596, c_{2} \approx 3.486596

Evaluate

c^{6} \times 28 - 50300

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

c^{6} \times 28 - 50300 = 0

Use the commutative property to reorder the terms

28 c^{6} - 50300 = 0

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

28 c^{6} = 0 + 50300

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

28 c^{6} = 50300

Divide both sides

\frac{28 c ^{6}}{28} = \frac{50300}{28}

Divide the numbers

c^{6} = \frac{50300}{28}

Cancel out the common factor 4

c^{6} = \frac{12575}{7}

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

c = \pm 6 \frac{12575}{7}

Simplify the expression

More Steps

Evaluate

6 \frac{12575}{7}

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

\frac{6 12575}{6 7}

Multiply by the Conjugate

\frac{6 12575 \times 6 7 ^{5}}{6 7 \times 6 7 ^{5}}

Simplify

\frac{6 12575 \times 6 16807}{6 7 \times 6 7 ^{5}}

Multiply the numbers

More Steps

Evaluate

612575 \times 616807

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

6 12575 \times 16807

Calculate the product

6211348025

\frac{6 211348025}{6 7 \times 6 7 ^{5}}

Multiply the numbers

More Steps

Evaluate

67 \times 6 7^{5}

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

6 7 \times 7^{5}

Calculate the product

6 7^{6}

Reduce the index of the radical and exponent with 6

7

\frac{6 211348025}{7}

c = \pm \frac{6 211348025}{7}

Separate the equation into 2 possible cases

c = \frac{6 211348025}{7} c = - \frac{6 211348025}{7}

Solution

c_{1} = - \frac{6 211348025}{7}, c_{2} = \frac{6 211348025}{7}

Alternative Form

c_{1} \approx - 3.486596, c_{2} \approx 3.486596

Show Solution