Question

find the sum and product of the roots of the equation.​

Answer 1

Answer:

sum of roots = -2 , product of root = -53

Step-by-step explanation:

1 / ( x-3) - 1 / (x+5) = 1/ 6

x+5) -( x-3) / ( x-3) ( x+5) = 1/6

x+5 -x +3 / ( x-3) ( x+5) = 1/6

8 / ( x-3) ( x+5) = 1/6

(x-3) ( x - 5) = 8 ×6

x^2 + 2x -15 = 48

x^2 +2x - 15 -48 = 0

x^2 +2x -53 = 0

comparing with ax^2 + bx +c = 0

a = 1 , b = 2 , c = -53

sum of roots ( Alfa + Betta) = -b /a = -2 / 1 = -2

product of roots (alfa ×betta ) = c/ a = -53 / 1 = -53