Question
Solve the equation
a1=−126,a2=0,a3=126
Alternative Form
a1≈−0.204124,a2=0,a3≈0.204124
Evaluate
a2−12a6×48=0
Multiply the terms
a2−576a6=0
Factor the expression
a2(1−576a4)=0
Separate the equation into 2 possible cases
a2=01−576a4=0
The only way a power can be 0 is when the base equals 0
a=01−576a4=0
Solve the equation
More Steps

Evaluate
1−576a4=0
Move the constant to the right-hand side and change its sign
−576a4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−576a4=−1
Change the signs on both sides of the equation
576a4=1
Divide both sides
576576a4=5761
Divide the numbers
a4=5761
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±45761
Simplify the expression
More Steps

Evaluate
45761
To take a root of a fraction,take the root of the numerator and denominator separately
457641
Simplify the radical expression
45761
Simplify the radical expression
261
Multiply by the Conjugate
26×66
Multiply the numbers
126
a=±126
Separate the equation into 2 possible cases
a=126a=−126
a=0a=126a=−126
Solution
a1=−126,a2=0,a3=126
Alternative Form
a1≈−0.204124,a2=0,a3≈0.204124
Show Solution
