Question

find m if the quadratic equation (m-1)x-2(m+-1)x+1=0at real and equal roots.​

Answer 1

Answer:

for real and equal roots,

b²-4ac= 0

here, a=m-1

b= 2(m-1)

c=1

{2(m-1)}² - 4(m-1) = 0

4(m²+1-2m) -4m+4 = 0

4m²+4-8m-4m+4 = 0

4m²+8-12m = 0

4m²-12m +8 = 0

4m²-8m-4m+8 = 0

4m(m-2)-4(m-2)=0

(m-2)(4m-4)=0

m-2=0 or 4m-4=0

m=2 m=1