Question
Solve the equation
a1=−36,a2=0,a3=36
Alternative Form
a1≈−0.816497,a2=0,a3≈0.816497
Evaluate
a3×9a×1−6a2=0
Multiply the terms
More Steps

Evaluate
a3×9a×1
Rewrite the expression
a3×9a
Multiply the terms with the same base by adding their exponents
a3+1×9
Add the numbers
a4×9
Use the commutative property to reorder the terms
9a4
9a4−6a2=0
Factor the expression
3a2(3a2−2)=0
Divide both sides
a2(3a2−2)=0
Separate the equation into 2 possible cases
a2=03a2−2=0
The only way a power can be 0 is when the base equals 0
a=03a2−2=0
Solve the equation
More Steps

Evaluate
3a2−2=0
Move the constant to the right-hand side and change its sign
3a2=0+2
Removing 0 doesn't change the value,so remove it from the expression
3a2=2
Divide both sides
33a2=32
Divide the numbers
a2=32
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±32
Simplify the expression
More Steps

Evaluate
32
To take a root of a fraction,take the root of the numerator and denominator separately
32
Multiply by the Conjugate
3×32×3
Multiply the numbers
3×36
When a square root of an expression is multiplied by itself,the result is that expression
36
a=±36
Separate the equation into 2 possible cases
a=36a=−36
a=0a=36a=−36
Solution
a1=−36,a2=0,a3=36
Alternative Form
a1≈−0.816497,a2=0,a3≈0.816497
Show Solution
