Question
Find the roots
m1=−2501,m2=2501
Alternative Form
m1≈−44.766059,m2≈44.766059
Evaluate
m2−2004
To find the roots of the expression,set the expression equal to 0
m2−2004=0
Move the constant to the right-hand side and change its sign
m2=0+2004
Removing 0 doesn't change the value,so remove it from the expression
m2=2004
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±2004
Simplify the expression
More Steps

Evaluate
2004
Write the expression as a product where the root of one of the factors can be evaluated
4×501
Write the number in exponential form with the base of 2
22×501
The root of a product is equal to the product of the roots of each factor
22×501
Reduce the index of the radical and exponent with 2
2501
m=±2501
Separate the equation into 2 possible cases
m=2501m=−2501
Solution
m1=−2501,m2=2501
Alternative Form
m1≈−44.766059,m2≈44.766059
Show Solution
