Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
t1=−2,t2=2
Alternative Form
t1≈−1.414214,t2≈1.414214
Evaluate
t4−t2−2=0
Factor the expression
(t2−2)(t2+1)=0
Separate the equation into 2 possible cases
t2−2=0t2+1=0
Solve the equation
More Steps
Evaluate
t2−2=0
Move the constant to the right-hand side and change its sign
t2=0+2
Removing 0 doesn't change the value,so remove it from the expression
t2=2
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±2
Separate the equation into 2 possible cases
t=2t=−2
t=2t=−2t2+1=0
Solve the equation
More Steps
Evaluate
t2+1=0
Move the constant to the right-hand side and change its sign
t2=0−1
Removing 0 doesn't change the value,so remove it from the expression
t2=−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 t
t∈/R
t=2t=−2t∈/R
Find the union
t=2t=−2
Solution
t1=−2,t2=2
Alternative Form
t1≈−1.414214,t2≈1.414214
Show Solution
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