Question

Find the value of k that will make the roots 16x2 -4kx + 25 = 0 equal.

Answer 1

Answer:

Comparying 16x^2-4kx+25 = 0 with ax^2+bx+c,

a=16, b= -4k, c=25

As the equation has real and equal roots,

b^2-4ac=0

=>(-4k)^2-4×16×25=0

=>16k^2-1600=0

=>k^2=1600/16

=>k=10