x+1/x-2+x+11/x+3=y. find the roots of eqn.
Answers
Given : (x + 1)/(x -2) + (x + 11)/(x + 3) = y
To find : Roots of the Equations
Solution:
to find roots/Zeroes lets put y = 0
(x + 1)/(x -2) + (x + 11)/(x + 3) = 0
multiplying both sides by (x - 2)(x + 3)
=> (x + 1)(x + 3) + (x + 11)(x - 2) = 0
=> x² + 4x + 3 + x² + 9x - 22 = 0
=> 2x² + 13x - 19 = 0
=> x = (- 13 ± √(169 + 152 )/4
=> x = ( - 13 ± √321 )/4
if Question is
(x + 1)/(x -2) + (x + 1)/(x + 3) = 0
multiplying both sides by (x - 2)(x + 3)
=> (x + 1)(x + 3) + (x + 1)(x - 2) = 0
=> (x + 1)(x + 3 + x - 2) = 0
=> (x + 1)(2x + 1) = 0
=> x = -1 , x = -1/2
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