Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
c1=−105,c2=105
Alternative Form
c1≈−22.36068,c2≈22.36068
Evaluate
c2−500
To find the roots of the expression,set the expression equal to 0
c2−500=0
Move the constant to the right-hand side and change its sign
c2=0+500
Removing 0 doesn't change the value,so remove it from the expression
c2=500
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±500
Simplify the expression
More Steps
Evaluate
500
Write the expression as a product where the root of one of the factors can be evaluated
100×5
Write the number in exponential form with the base of 10
102×5
The root of a product is equal to the product of the roots of each factor
102×5
Reduce the index of the radical and exponent with 2
105
c=±105
Separate the equation into 2 possible cases
c=105c=−105
Solution
c1=−105,c2=105
Alternative Form
c1≈−22.36068,c2≈22.36068
Show Solution
