Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x∈/R
Alternative Form
No real solution
Evaluate
x2−4x4=32
Move the expression to the left side
x2−4x4−32=0
Solve the equation using substitution t=x2
t−4t2−32=0
Rewrite in standard form
−4t2+t−32=0
Multiply both sides
4t2−t+32=0
Substitute a=4,b=−1 and c=32 into the quadratic formula t=2a−b±b2−4ac
t=2×41±(−1)2−4×4×32
Simplify the expression
t=81±(−1)2−4×4×32
Simplify the expression
More Steps
Evaluate
(−1)2−4×4×32
Evaluate the power
1−4×4×32
Multiply the terms
More Steps
Multiply the terms
4×4×32
Multiply the terms
16×32
Multiply the numbers
512
1−512
Subtract the numbers
−511
t=81±−511
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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