(Q21)Find the roots of the following equations
(ii)
1
x+4
-
1
x-7
=
11
30
,x ≠-4,7
Answer:
Given:
1
x+4
-
1
x-7
=
11
30
(x-7)-(x+4)
(x+4)(x-7)
=
11
30
x-7-x-4
(x+4)(x-7)
=
11
30
x2 - 3x - 28 = -30
x2 - 3x - 28 + 30 = 0
x2 - 3x + 2 = 0
x2-x - x + 2 = 0
x(x - )- 1(x - )=0
(x - )(x - 1) = 0
x - = 0 (or) x - 1 = 0
x = (or) x = 1
x = (or) 1.