Question

for what value (or values) of m, (m+2)x2+(3m-2)x+2m-3=0 will have equal roots?

Answer 1

Roots of eqn. are equal , therefore b^2-4.a.c=0

or. b^2. = 4.a.c

or. (3m-2)^2. = 4.(m+2).(2m-3)

or. 9m^2 -12m +4. = 8m^2+4m -24

or. m^2. -16m. +28. =0

or. m^2-14m-2m+28=0

or. m(m-14)-2(m-14)=0

or. (m-14)(m-2)=0

m = 14. , 2. Answer.