Question
Solve the equation
t1=−4214,t2=0,t3=4214
Alternative Form
t1≈−0.089087,t2=0,t3≈0.089087
Evaluate
t2−14t4×9=0
Multiply the terms
t2−126t4=0
Factor the expression
t2(1−126t2)=0
Separate the equation into 2 possible cases
t2=01−126t2=0
The only way a power can be 0 is when the base equals 0
t=01−126t2=0
Solve the equation
More Steps

Evaluate
1−126t2=0
Move the constant to the right-hand side and change its sign
−126t2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−126t2=−1
Change the signs on both sides of the equation
126t2=1
Divide both sides
126126t2=1261
Divide the numbers
t2=1261
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±1261
Simplify the expression
More Steps

Evaluate
1261
To take a root of a fraction,take the root of the numerator and denominator separately
1261
Simplify the radical expression
1261
Simplify the radical expression
3141
Multiply by the Conjugate
314×1414
Multiply the numbers
4214
t=±4214
Separate the equation into 2 possible cases
t=4214t=−4214
t=0t=4214t=−4214
Solution
t1=−4214,t2=0,t3=4214
Alternative Form
t1≈−0.089087,t2=0,t3≈0.089087
Show Solution
