1] (m-1)x² -2(m-1)x +1 =0 find m , which has real and equal roots.
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Step-by-step explanation:
Given, real and equal roots
b^2- 4ac =0
b= -2(m-1)
a= (m-1)
c= 1
4(m-1)^2 -4 (m-1) ×1 =0
4 ( m^2-2m +1 -m +1) =0
m^2-3m +2 =0
m^2 -2m -m +2 =0
m(m-2) -1 ( m-2) =0
m=1,2
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