Question 89372: Solve by using the quadratic formula
4x^2-3x+3=0
Having trouble any help appreciated.
Answer by jim_thompson5910(35256)   (Show Source):
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=4, b=-3, and c=3
 Negate -3 to get 3
 Square -3 to get 9 (note: remember when you square -3, 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: since we cannot take the square root of a negative value, we must factor  to  to make the radicand positive. If you need help with simplifying the square root, check out this solver)
 Multiply 2 and 4 to get 8
After simplifying, the quadratic has roots of
 or 
Notice if we graph the quadratic  , we get
 graph of
To visually verify the answer, check out this page to see a visual representation of imaginary roots
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