Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x2+1)(x3−x−1)
Evaluate
x5−x2−x−1
Calculate
x5−x3−x2+x3−x−1
Rewrite the expression
x2×x3−x2×x−x2+x3−x−1
Factor out x2 from the expression
x2(x3−x−1)+x3−x−1
Solution
(x2+1)(x3−x−1)
Show Solution
Find the roots
x1≈1.324718,x2=−i,x3=i
Evaluate
(x5−x2−x−1)
To find the roots of the expression,set the expression equal to 0
x5−x2−x−1=0
Factor the expression
(x2+1)(x3−x−1)=0
Separate the equation into 2 possible cases
x2+1=0x3−x−1=0
Solve the equation
More Steps
Evaluate
x2+1=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
x=ix=−ix3−x−1=0
Solve the equation
x=ix=−ix≈1.324718
Solution
x1≈1.324718,x2=−i,x3=i
Show Solution