Question
Solve the equation
Solve for c
Solve for s
c=−5∣s∣48250s2,s=0c=5∣s∣48250s2,s=0
Evaluate
s2c4×5=66
Use the commutative property to reorder the terms
5s2c4=66
Divide both sides
5s25s2c4=5s266
Divide the numbers
c4=5s266
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±45s266
Simplify the expression
More Steps

Evaluate
45s266
To take a root of a fraction,take the root of the numerator and denominator separately
45s2466
Multiply by the Conjugate
45s2×453s2466×453s2
Calculate
5∣s∣466×453s2
Calculate
More Steps

Evaluate
466×453s2
The product of roots with the same index is equal to the root of the product
466×53s2
Calculate the product
48250s2
5∣s∣48250s2
c=±5∣s∣48250s2
Separate the equation into 2 possible cases
c=5∣s∣48250s2c=−5∣s∣48250s2
Calculate
{c=−5∣s∣48250s2s=0{c=5∣s∣48250s2s=0
Solution
c=−5∣s∣48250s2,s=0c=5∣s∣48250s2,s=0
Show Solution
