Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
1+x2
Evaluate
1−x(−x)
Multiply the terms
More Steps
Evaluate
x(−x)
Use the commutative property to reorder the terms
−x×x
Multiply the terms
−x2
1−(−x2)
Solution
1+x2
Show Solution
Find the roots
x1=−i,x2=i
Evaluate
1−x(−x)
To find the roots of the expression,set the expression equal to 0
1−x(−x)=0
Multiply the terms
More Steps
Evaluate
x(−x)
Use the commutative property to reorder the terms
−x×x
Multiply the terms
−x2
1−(−x2)=0
Rewrite the expression
1+x2=0
Move the constant to the right-hand side and change its sign
x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
x2=−1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−1
Simplify the expression
x=±i
Separate the equation into 2 possible cases
x=ix=−i
Solution
x1=−i,x2=i
Show Solution