Question
Simplify the expression
−x4−2
Evaluate
−x3×x−2
Solution
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−x4−2
Show Solution

Find the roots
x1=−248−248i,x2=248+248i
Alternative Form
x1≈−0.840896−0.840896i,x2≈0.840896+0.840896i
Evaluate
−x3×x−2
To find the roots of the expression,set the expression equal to 0
−x3×x−2=0
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−x4−2=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=±4−2
Simplify the expression
More Steps

Evaluate
4−2
Rewrite the expression
42×(22+22i)
Apply the distributive property
42×22+42×22i
Multiply the numbers
More Steps

Evaluate
42×22
Multiply the numbers
242×2
Multiply the numbers
248
248+42×22i
Multiply the numbers
248+248i
x=±(248+248i)
Separate the equation into 2 possible cases
x=248+248ix=−248−248i
Solution
x1=−248−248i,x2=248+248i
Alternative Form
x1≈−0.840896−0.840896i,x2≈0.840896+0.840896i
Show Solution
