Question
Solve the equation
t1=−6427,t2=0,t3=6427
Alternative Form
t1≈−0.379918,t2=0,t3≈0.379918
Evaluate
t2−12t6×4=0
Multiply the terms
t2−48t6=0
Factor the expression
t2(1−48t4)=0
Separate the equation into 2 possible cases
t2=01−48t4=0
The only way a power can be 0 is when the base equals 0
t=01−48t4=0
Solve the equation
More Steps

Evaluate
1−48t4=0
Move the constant to the right-hand side and change its sign
−48t4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−48t4=−1
Change the signs on both sides of the equation
48t4=1
Divide both sides
4848t4=481
Divide the numbers
t4=481
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±4481
Simplify the expression
More Steps

Evaluate
4481
To take a root of a fraction,take the root of the numerator and denominator separately
44841
Simplify the radical expression
4481
Simplify the radical expression
2431
Multiply by the Conjugate
243×433433
Simplify
243×433427
Multiply the numbers
6427
t=±6427
Separate the equation into 2 possible cases
t=6427t=−6427
t=0t=6427t=−6427
Solution
t1=−6427,t2=0,t3=6427
Alternative Form
t1≈−0.379918,t2=0,t3≈0.379918
Show Solution
