Question
Find the roots
x1=−3i,x2=3i
Evaluate
x2+9
To find the roots of the expression,set the expression equal to 0
x2+9=0
Move the constant to the right-hand side and change its sign
x2=0−9
Removing 0 doesn't change the value,so remove it from the expression
x2=−9
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−9
Simplify the expression
More Steps

Evaluate
−9
Evaluate the power
9×−1
Evaluate the power
9×i
Evaluate the square root
More Steps

Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
3i
x=±3i
Separate the equation into 2 possible cases
x=3ix=−3i
Solution
x1=−3i,x2=3i
Show Solution
