Algebra
Calculus
Trigonometry
Matrix
Question
x2+18
Find the roots
x1=−32×i,x2=32×i
Alternative Form
x1≈−4.242641i,x2≈4.242641i
Evaluate
x2+18
To find the roots of the expression,set the expression equal to 0
x2+18=0
Move the constant to the right-hand side and change its sign
x2=0−18
Removing 0 doesn't change the value,so remove it from the expression
x2=−18
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−18
Simplify the expression
More Steps
Evaluate
−18
Evaluate the power
18×−1
Evaluate the power
18×i
Evaluate the power
More Steps
Evaluate
18
Write the expression as a product where the root of one of the factors can be evaluated
9×2
Write the number in exponential form with the base of 3
32×2
The root of a product is equal to the product of the roots of each factor
32×2
Reduce the index of the radical and exponent with 2
32
32×i
x=±(32×i)
Separate the equation into 2 possible cases
x=32×ix=−32×i
Solution
x1=−32×i,x2=32×i
Alternative Form
x1≈−4.242641i,x2≈4.242641i
Show Solution
