CBSE Class 10 Answered
SOLVE THE QUADRATIC EQUATION
Asked by sunil_0010 | 09 Jan, 2010, 10:26: PM
Expert Answer
1/a + 1/b + 1/x = (x(a+b) + ab)/abx
1/(a+b+x) = 1/a + 1/b + 1/x = (x(a+b) + ab)/abx
abx = (a+b+x)(x(a+b) + ab)
abx = (a+b+x)(xa+bx+ab)
= a2x+abx+a2b+abx+b2x + ab2+x2a+x2b+abx
a2x+a2b+abx+b2x + ab2+x2a+x2b+abx = 0
(a+b)x2 +(a2+b2+2ab)x+a2b+ab2 = 0
(a+b)x2 +(a+b)2x+ab(a+b) = 0
Solving this quadratic equation,
x = [(a+b)±(a-b)]/2
x = a or b
Regards,
Team,
TopperLearning.
Answered by | 09 Jan, 2010, 10:48: PM
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