Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−x2−16x4
Evaluate
−x2−2x4×8
Solution
−x2−16x4
Show Solution
Factor the expression
−x2(1+16x2)
Evaluate
−x2−2x4×8
Multiply the terms
−x2−16x4
Rewrite the expression
−x2−x2×16x2
Solution
−x2(1+16x2)
Show Solution
Find the roots
x1=−41i,x2=41i,x3=0
Alternative Form
x1=−0.25i,x2=0.25i,x3=0
Evaluate
−x2−2x4×8
To find the roots of the expression,set the expression equal to 0
−x2−2x4×8=0
Multiply the terms
−x2−16x4=0
Factor the expression
−x2(1+16x2)=0
Divide both sides
x2(1+16x2)=0
Separate the equation into 2 possible cases
x2=01+16x2=0
The only way a power can be 0 is when the base equals 0
x=01+16x2=0
Solve the equation
More Steps
Evaluate
1+16x2=0
Move the constant to the right-hand side and change its sign
16x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
16x2=−1
Divide both sides
1616x2=16−1
Divide the numbers
x2=16−1
Use b−a=−ba=−ba to rewrite the fraction
x2=−161
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−161
Simplify the expression
More Steps
Evaluate
−161
Evaluate the power
161×−1
Evaluate the power
161×i
Evaluate the power
41i
x=±41i
Separate the equation into 2 possible cases
x=41ix=−41i
x=0x=41ix=−41i
Solution
x1=−41i,x2=41i,x3=0
Alternative Form
x1=−0.25i,x2=0.25i,x3=0
Show Solution