Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x∈/R
Alternative Form
No real solution
Evaluate
2x2−8=x4
Move the expression to the left side
2x2−8−x4=0
Solve the equation using substitution t=x2
2t−8−t2=0
Rewrite in standard form
−t2+2t−8=0
Multiply both sides
t2−2t+8=0
Substitute a=1,b=−2 and c=8 into the quadratic formula t=2a−b±b2−4ac
t=22±(−2)2−4×8
Simplify the expression
More Steps
Evaluate
(−2)2−4×8
Multiply the numbers
(−2)2−32
Rewrite the expression
22−32
Evaluate the power
4−32
Subtract the numbers
−28
t=22±−28
The expression is undefined in the set of real numbers
t∈/R
Solution
x∈/R
Alternative Form
No real solution
Show Solution
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