Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
t∈/R
Alternative Form
No real solution
Evaluate
t2−4t4=7
Move the expression to the left side
t2−4t4−7=0
Solve the equation using substitution v=t2
v−4v2−7=0
Rewrite in standard form
−4v2+v−7=0
Multiply both sides
4v2−v+7=0
Substitute a=4,b=−1 and c=7 into the quadratic formula v=2a−b±b2−4ac
v=2×41±(−1)2−4×4×7
Simplify the expression
v=81±(−1)2−4×4×7
Simplify the expression
More Steps
Evaluate
(−1)2−4×4×7
Evaluate the power
1−4×4×7
Multiply the terms
More Steps
Multiply the terms
4×4×7
Multiply the terms
16×7
Multiply the numbers
112
1−112
Subtract the numbers
−111
v=81±−111
The expression is undefined in the set of real numbers
v∈/R
Solution
t∈/R
Alternative Form
No real solution
Show Solution
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