Q1 of 83 Page 85

Find the discriminant of the following quadratic equations and discuss the nature of the roots:

24x2 — 17x + 3 = 0

Comparing equation 24x2 — 17x + 3 = 0 with ax2 + bx + c = 0 we get


a = 24, b = – 17 and c = 3


Discriminant (D) = b2 – 4ac


⇒ D = (– 17)2 – 4(24)(3)


⇒ D = 289 – 4 × 72


⇒ D = 289 – 288


⇒ D = 1


As D > 0 roots of equation 24x2 — 17x + 3 = 0 are real and distinct


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