Question

For what real value(s) of k does the quadratic equation - x² − (k + 3)x + 2k = 0, have equal real roots?

Q: Answer-For what real value(s) of k does the quadratic equation - x² − (k + 3)x + 2k = 0, have equal real ro...

ATQ, For equal roots, discriminant D 0. Here a 1, b k 3, c 2k. D b 4ac k 3 412k k 6k 9 8k k 2k 9 Set D 0 k 2k 9 0 Discriminant of this in k 2 419 4 36 32 lt 0 Since lt 0, the equation in k has no real solution. So there is no real value of k for which the quadratic has equal real roots.