Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x−x5
Evaluate
2x−x4×x
Solution
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
2x−x5
Show Solution
Factor the expression
x(2−x4)
Evaluate
2x−x4×x
Multiply the terms
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
2x−x5
Rewrite the expression
x×2−x×x4
Solution
x(2−x4)
Show Solution
Find the roots
x1=−42,x2=0,x3=42
Alternative Form
x1≈−1.189207,x2=0,x3≈1.189207
Evaluate
2x−x4×x
To find the roots of the expression,set the expression equal to 0
2x−x4×x=0
Multiply the terms
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
2x−x5=0
Factor the expression
x(2−x4)=0
Separate the equation into 2 possible cases
x=02−x4=0
Solve the equation
More Steps
Evaluate
2−x4=0
Move the constant to the right-hand side and change its sign
−x4=0−2
Removing 0 doesn't change the value,so remove it from the expression
−x4=−2
Change the signs on both sides of the equation
x4=2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±42
Separate the equation into 2 possible cases
x=42x=−42
x=0x=42x=−42
Solution
x1=−42,x2=0,x3=42
Alternative Form
x1≈−1.189207,x2=0,x3≈1.189207
Show Solution