Q11 of 168 Page 7

Find the values of k, for which the given equation has real roots:

kx2+ 4x + 1 = 0

Roots are equal


∴ d = 0


d = b2 – 4ac


d = (4)2 – 4 (1) (k)


d = 16 – 4k


Put d = 0


0 = 16 – 4k


4k = 16


k = 4


More from this chapter

All 168 →
11

Find the values of k, for which the given equation has real roots:

2x2 — 10x + k = 0

 11

Find the values of k, for which the given equation has real roots:

kx2 — 6x — 2 = 0

 11

Find the values of k, for which the given equation has real roots:

kx2 – 2√5x + 4 = 0

 11

Find the values of k, for which the given equation has real roots:

x2 + k(4x + k — 1) + 2 = 0