Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−2,x2=2
Evaluate
2x4−7x2−4=0
Factor the expression
(x−2)(x+2)(2x2+1)=0
Separate the equation into 3 possible cases
x−2=0x+2=02x2+1=0
Solve the equation
More Steps
Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=2x+2=02x2+1=0
Solve the equation
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=2x=−22x2+1=0
Solve the equation
More Steps
Evaluate
2x2+1=0
Move the constant to the right-hand side and change its sign
2x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
2x2=−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
Show Solution
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