Question
Solve the equation
a1=−1141331,a2=0,a3=1141331
Alternative Form
a1≈−0.5491,a2=0,a3≈0.5491
Evaluate
a2−11a6=0
Factor the expression
a2(1−11a4)=0
Separate the equation into 2 possible cases
a2=01−11a4=0
The only way a power can be 0 is when the base equals 0
a=01−11a4=0
Solve the equation
More Steps

Evaluate
1−11a4=0
Move the constant to the right-hand side and change its sign
−11a4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−11a4=−1
Change the signs on both sides of the equation
11a4=1
Divide both sides
1111a4=111
Divide the numbers
a4=111
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±4111
Simplify the expression
More Steps

Evaluate
4111
To take a root of a fraction,take the root of the numerator and denominator separately
41141
Simplify the radical expression
4111
Multiply by the Conjugate
411×41134113
Simplify
411×411341331
Multiply the numbers
1141331
a=±1141331
Separate the equation into 2 possible cases
a=1141331a=−1141331
a=0a=1141331a=−1141331
Solution
a1=−1141331,a2=0,a3=1141331
Alternative Form
a1≈−0.5491,a2=0,a3≈0.5491
Show Solution
