Advertisement Remove all ads

State whether the following quadratic equations have two distinct real roots. Justify your answer. x2 – 3x + 4 = 0 - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

State whether the following quadratic equations have two distinct real roots. Justify your answer.

x2 – 3x + 4 = 0

Advertisement Remove all ads

Solution

The equation x2 – 3x + 4 = 0 has no real roots.

D = b2 – 4ac

= (–3)2 – 4(1)(4)

= 9 – 16 < 0

Hence, the roots are imaginary.

Concept: Nature of Roots
  Is there an error in this question or solution?

APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.2 | Q 1.(i) | Page 38
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×