Question

if 4a2x2 -4axb +k has equal roots then find k​

Answer 1

Answer:

k = b²

Step-by-step explanation:

p(x) = 4a²x² - 4axb + k

It is of the form ax² + bx + c = 0

Discriminant, D = b² - 4ac

Since the equation has equal roots

D = 0

=> b² - 4ac = 0

=> (-4ab)² - 4(4a²)(k) = 0

=> 16a²b² - 16a²k = 0

=> 16a²(b² - k) = 0

=> b² - k = 0

=> k = b²