(Q4) Write three quadratic equations one having two distinct real solutions, one having no real solution and one having exactly one real solution.

Answer:

  Q.E b2 - 4ac Nature
1 4x2 + 7x + 3 = 0 49 - 4.4.3 > 0 distinct,
2 9x2 + 24x + 16 = 0 242 - 4 × 9 × 16 = 0 equal roots
-b
2a

-24
 ,
-24
 =
-4
 ,
-4
3 5x2 + 2x + 8 = 0 22 - 4 × 5 × 8 < 0 no real roots