You can
put this solution on YOUR website!Let's use the quadratic formula to solve for x:
Starting with the general quadratic
the general solution using the quadratic equation is:
So lets solve
( notice
,
, and
)
Plug in a=3, b=-2, and c=1
Negate -2 to get 2
Square -2 to get 4 (note: remember when you square -2, you must square the negative as well. This is because
.)
Multiply
to get
Combine like terms in the radicand (everything under the square root)
Simplify the square root (note: If you need help with simplifying the square root, check out this
solver)
Multiply 2 and 3 to get 6
After simplifying, the quadratic has roots of
or
Notice if we graph the quadratic
, we get
graph of
And we can see that there are no real roots
To visually verify the answer, check out
this page to see a visual representation of imaginary roots
(