Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Evaluate
4x4−4x2=8
Move the expression to the left side
4x4−4x2−8=0
Factor the expression
4(x2−2)(x2+1)=0
Divide both sides
(x2−2)(x2+1)=0
Separate the equation into 2 possible cases
x2−2=0x2+1=0
Solve the equation
More Steps
Evaluate
x2−2=0
Move the constant to the right-hand side and change its sign
x2=0+2
Removing 0 doesn't change the value,so remove it from the expression
x2=2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±2
Separate the equation into 2 possible cases
x=2x=−2
x=2x=−2x2+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
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x=2x=−2x∈/R
Find the union
x=2x=−2
Solution
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Show Solution
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