Question
Solve the equation
a1=−4080102,a2=0,a3=4080102
Alternative Form
a1≈−0.002475,a2=0,a3≈0.002475
Evaluate
a2−200a4×816=0
Multiply the terms
a2−163200a4=0
Factor the expression
a2(1−163200a2)=0
Separate the equation into 2 possible cases
a2=01−163200a2=0
The only way a power can be 0 is when the base equals 0
a=01−163200a2=0
Solve the equation
More Steps

Evaluate
1−163200a2=0
Move the constant to the right-hand side and change its sign
−163200a2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−163200a2=−1
Change the signs on both sides of the equation
163200a2=1
Divide both sides
163200163200a2=1632001
Divide the numbers
a2=1632001
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±1632001
Simplify the expression
More Steps

Evaluate
1632001
To take a root of a fraction,take the root of the numerator and denominator separately
1632001
Simplify the radical expression
1632001
Simplify the radical expression
401021
Multiply by the Conjugate
40102×102102
Multiply the numbers
4080102
a=±4080102
Separate the equation into 2 possible cases
a=4080102a=−4080102
a=0a=4080102a=−4080102
Solution
a1=−4080102,a2=0,a3=4080102
Alternative Form
a1≈−0.002475,a2=0,a3≈0.002475
Show Solution
