Question

Find m, if the quadratic equation (m + 1)x2 – 2(0 - 1)x + 1 = 0
has only one root.​

Answer 1

Answer:

M=0

Step-by-step explanation:

Since only one root is possible,

D=0

b² - 4ac =0 - - - - - - -(1)

In the given equation, in standard form a=m+1, b=-2(0-1)=-2 and c=1

Thus,

b²-4ac=(-2)²-4(m+1)(1)=4-4m-4=-4m

Thus b2-4ac=-4m - - - - - (2)

Comparing (1) and (2)

-4m=0

Hence

m=0