Answers

2014-08-04T19:37:55+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Ax² + bx +c  = 0

rewrite as x² + b/a  x + c/a  = 0    call  - b/a = b'    c/a  = c'
 x² - b' x + c' = 0  equaiton 1
IF α and β are the roots,
(x - α) (x - β) = 0    expand this expression then,  we get
x² - (α+ β) x +αβ = 0        comparew with the equation 1
α+β = b'  abd  αβ = product
Convert the equation in the form of equation 1  and then try to factor the c' so that the sum of the factors becomes minus of coefficient of x.

If some trial values fail, use the formula
Δ = √b² - 4ac    and    α, β  = (-b +- Δ)/2

Often trying simple values of x as x=1, -1, -2, -3, 2, 3 could give  a root directly.

0
  • Brainly User
2014-08-05T23:53:34+05:30
Any quadratic has roots from which we define sum of roots= alfa+beta
product = alfa x beta
alfa+ beta= -b/a   and alfa x beta= c/a   where   ax^2+bx+c is any quadratic.
0