CBSE Class 11-science Answered
Quadratic equations
Asked by abhishek11 | 25 May, 2010, 07:11: PM
Expert Answer
(x-a)(x-b) = c
x2 -(a+b) + ab = c
x2 -(a+b) + ab - c = 0
α + β = a + b and αβ = ab - c ... (1)
Now, (x - α)(x - β) + c = a
x2 -(α + β)x + αβ + c = a
Substituting from (1),
x2 -(a + b)x + ab - c + c = a
x2 -(a + b)x + ab - a = 0
The roots are,
= {(a+b)±
[(a+b)2 - 4a(b-1)]}/2
= {(a+b)±[(a-b)2+4a)]}/2
Regards,
Team,
TopperLearning.
Answered by | 26 May, 2010, 12:18: PM
CBSE 11-science - Maths
Asked by benganigaurav24 | 10 Jul, 2021, 10:05: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sahabya | 29 May, 2010, 02:55: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by abhishek11 | 25 May, 2010, 07:11: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by prashant.jain | 24 May, 2010, 12:43: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sidhusid | 18 May, 2010, 07:14: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by MANOJKUMAR | 15 May, 2010, 01:33: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by dandirao | 15 May, 2010, 12:19: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by varunsinghal2011 | 09 May, 2010, 03:45: PM
ANSWERED BY EXPERT