1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following can you say about the roots of x2–2x–3=0?

A

both of them are natural numbers

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

both of them are integers

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

one of the root is zero.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

roots are not real

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B both of them are integers Step 1:- For x2–2x–3=0, value of discriminant D = (−2)2–4(−3)(1)=4+12=16. Step 2:- Since, D is a perfect square, roots are rational and unequal. Step 3:- Solving the equation, x=[−(−2)+√(16)]/2 or [−(−2)−√(16)]/2 x=3,−1 Thus, both of them are integers.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Nature of Roots
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program