Question

find the value of 'm', if the following equation has equal roots:
(m-2)xsquare -(5+m)x+16=0​

Answer 1

Answer:

Step-by-step explanation:

(m-2)x² -(5+m)x+16=0​

Discriminant = (5+m)² - 4*16*(m-2)

For roots to be equal discriminant = 0

(5+m)² - 4*16*(m-2) = 0

25 + m² + 10m - 64m + 128 = 0

m² - 54m + 153 = 0

m² - 51m - 3m + 153 = 0

m(m-51) -3(m-51) = 0

(m-3)(m-51) = 0

m = 3 or 51.