Question

Find the values of a for which the roots of the equation
(2a-5)x -2(a-1)x+3=0are equal.

Answer 1

Answer:

Discriminant = 0

$( - 2a + 2) {}^{2} - 4 \times (2a - 5) \times 3 = 0$

$4 {a}^{2} - 8a + 4 - 24a + 60 = 0$

$4 {a}^{2} - 32a + 64 = 0$

${a}^{2} - 8a + 16 = 0$

$(a - 4) {}^{2} = 0$

$a = 4 \: \: ans.$