SOLUTION: I still can't get 3.5x+4.6/x=1.2 into standard form of quadratic equation. im sooooo stuck, thanks 4 the help.

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Question 6707: I still can't get 3.5x+4.6/x=1.2 into standard form of quadratic equation.

im sooooo stuck, thanks 4 the help.
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
3.5x+4.6/x=1.2


multiplyin throughout by 'x'


3.5x^2+4.6=1.2x


taking all terms to left hand side we get,
3.5x^2-1.2x+4.6=0


(This is in standard form now of ax^2+bx+c=0)


Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 3.5x%5E2%2B-1.2x%2B4.6+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-1.2%29%5E2-4%2A3.5%2A4.6=-62.96.

The discriminant -62.96 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -62.96 is + or - sqrt%28+62.96%29+=+7.93473376995095.

The solution is x%5B12%5D+=+%28--1.2%2B-+i%2Asqrt%28+-62.96+%29%29%2F2%5C3.5+=++%28--1.2%2B-+i%2A7.93473376995095%29%2F2%5C3.5+

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3.5%2Ax%5E2%2B-1.2%2Ax%2B4.6+%29