Question
Solve the equation
Solve for c
Solve for m
c=−∣m∣em,m=0c=∣m∣em,m=0
Evaluate
e=mc2
Swap the sides of the equation
mc2=e
Divide both sides
mmc2=me
Divide the numbers
c2=me
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±me
Simplify the expression
More Steps

Evaluate
me
To take a root of a fraction,take the root of the numerator and denominator separately
me
Multiply by the Conjugate
m×me×m
Calculate
∣m∣e×m
The product of roots with the same index is equal to the root of the product
∣m∣em
c=±∣m∣em
Separate the equation into 2 possible cases
c=∣m∣emc=−∣m∣em
Calculate
{c=−∣m∣emm=0{c=∣m∣emm=0
Solution
c=−∣m∣em,m=0c=∣m∣em,m=0
Show Solution
