SOLUTION: I need help with a quadratic problem, I am having trouble with this because it doesn't make sense to me at first. If b and a are the two roots of x^2-5x+3=0, then what is(a+b)(a

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help with a quadratic problem, I am having trouble with this because it doesn't make sense to me at first. If b and a are the two roots of x^2-5x+3=0, then what is(a+b)(a      Log On


   



Question 369791: I need help with a quadratic problem, I am having trouble with this because it doesn't make sense to me at first.
If b and a are the two roots of x^2-5x+3=0, then what is(a+b)(ab)=?
What I do not understand is, to factor x^2-5x+3=0 the products of 3, have to equal the sum of -5.
But it doesn't work out.
I used an online calculator to figure out the roots are: 5+sqroot(17)/2 and 5-sqroot(17)/2
In order to get the answer of
(a+b)(ab) would I just multiply those?
Help is appreciated, this is on my quiz next week.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If the roots of ax%5E2%2Bbx%2Bc=0 are p and q, then p%2Bq=-b and pq=c%2Fa