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Original Question
Solve and check. ( 3 marks) 5/(x-1)+2/(x+1)=-6Question
Solve and check. ( 3 marks)
(5)/(x-1) + (2)/(x+1)=-6
(5)/(x-1) + (2)/(x+1)=-6
Answers
kudum
(5)/(x-1) + (2)/(x+1)=-6
5(x+1)+2(x-1) = -6(x-1)(x+1)
5x + 5 + 2x -2 = -6(x^2 + x -x -1)
7x +3= -6(x^2 - 1)
7x + 3 = -6x^2 + 6
6x^2 -6 +7x +3 = 0
6x^2 + 7x -3 =0
(3x -1)(2x +3) = 0
3x- 1 =0
2x + 3 = 0
x= 1/3
x= -3/2
-3/2, 1/3 both are solution of x.
5(x+1)+2(x-1) = -6(x-1)(x+1)
5x + 5 + 2x -2 = -6(x^2 + x -x -1)
7x +3= -6(x^2 - 1)
7x + 3 = -6x^2 + 6
6x^2 -6 +7x +3 = 0
6x^2 + 7x -3 =0
(3x -1)(2x +3) = 0
3x- 1 =0
2x + 3 = 0
x= 1/3
x= -3/2
-3/2, 1/3 both are solution of x.