Question
Solve the equation
t1=−248,t2=0,t3=248
Alternative Form
t1≈−0.840896,t2=0,t3≈0.840896
Evaluate
6t2−12t6=0
Factor the expression
6t2(1−2t4)=0
Divide both sides
t2(1−2t4)=0
Separate the equation into 2 possible cases
t2=01−2t4=0
The only way a power can be 0 is when the base equals 0
t=01−2t4=0
Solve the equation
More Steps

Evaluate
1−2t4=0
Move the constant to the right-hand side and change its sign
−2t4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−2t4=−1
Change the signs on both sides of the equation
2t4=1
Divide both sides
22t4=21
Divide the numbers
t4=21
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±421
Simplify the expression
More Steps

Evaluate
421
To take a root of a fraction,take the root of the numerator and denominator separately
4241
Simplify the radical expression
421
Multiply by the Conjugate
42×423423
Simplify
42×42348
Multiply the numbers
248
t=±248
Separate the equation into 2 possible cases
t=248t=−248
t=0t=248t=−248
Solution
t1=−248,t2=0,t3=248
Alternative Form
t1≈−0.840896,t2=0,t3≈0.840896
Show Solution
