Question

the discriminant of the quadratic equation ax^-4ax+2a+1=0 is 4a(2a+1) or 2a(2a+1) or 4a(2a-1) or 2a(4a-1)

Answer 1

$Compare \: given \: Quadratic \: equation$

$ax^{2} - 4ax + 2a+1 = 0\:with \: Ax^{2} +Bx+C=0$

$we \:get$

$A = a , \: B = -4a \:and \: C = 2a + 1$

$\red{ Discriminant (D) }$

$= B^{2} - 4AC$

$= (-4a)^{2} - 4 \times a \times (2a+1)$

$= 16a^{2} - 8a^{2} - 4a$

$= 8a^{2} - 4a$

$= 4a(2a-1)$

Therefore.,

$\red{ Discriminant} \green { = 4a(2a-1) }$

•••♪