Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−3,x2=3
Alternative Form
x1≈−1.732051,x2≈1.732051
Evaluate
x4−2x2−3=0
Factor the expression
(x2−3)(x2+1)=0
Separate the equation into 2 possible cases
x2−3=0x2+1=0
Solve the equation
More Steps
Evaluate
x2−3=0
Move the constant to the right-hand side and change its sign
x2=0+3
Removing 0 doesn't change the value,so remove it from the expression
x2=3
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±3
Separate the equation into 2 possible cases
x=3x=−3
x=3x=−3x2+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=3x=−3x∈/R
Find the union
x=3x=−3
Solution
x1=−3,x2=3
Alternative Form
x1≈−1.732051,x2≈1.732051
Show Solution
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