Question

Tentukan nilai m agar (m+1)x2 +(2m-2)x + (m – 2) = 0 mempunyai akar kembar

Answer 1

D= 0
b2 - 4ac = 0
(2m-2)2 - 4 (m+1)(m-2)=0
4m2-8m+4 - 4 ( m2 + m -2m -2) =0
4m2 -8m + 4 -4m2 -4m +8m+8 =0
-4m +12=0
4m = 12
m = 12/4 = 3