Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
s1=−10i,s2=10i
Evaluate
s2+100
To find the roots of the expression,set the expression equal to 0
s2+100=0
Move the constant to the right-hand side and change its sign
s2=0−100
Removing 0 doesn't change the value,so remove it from the expression
s2=−100
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±−100
Simplify the expression
More Steps
Evaluate
−100
Evaluate the power
100×−1
Evaluate the power
100×i
Evaluate the square root
More Steps
Evaluate
100
Write the number in exponential form with the base of 10
102
Reduce the index of the radical and exponent with 2
10
10i
s=±10i
Separate the equation into 2 possible cases
s=10is=−10i
Solution
s1=−10i,s2=10i
Show Solution
