Question

. Find the value of "m", if the following equation has equal roots. (m-2) X^2-
(5+m) x+16=0.​

Answer 1

Answer:

for equal roots, Discriminant = 0

i.e

$(5 + m) {}^{2} - 4 \times (m - 2) \times 16 = 0$

$25 + {m}^{2} + 10m - 64m + 128 = 0$

${m}^{2} - 54m + 153 = 0$

${m}^{2} - 51m - 3m + 153 = 0$

$m(m - 54) - 3(m - 54) = 0$

$(m - 54)(m - 3) = 0$

$m = 54 \: or \: 3$