Quadratic Equations

Quadratic Equations Practice Problem 3

The quadratic equations x²-5x+3=0 has

A. no real roots

B. two distinct real roots

C. two equal real roots

D. more than two real roots

Answer

The nature of roots of the given equation can be given by,

D = b²4ac =0,

For equation x² – 5x+3 =0,

D = (-5)²-4(3)(1)

D = 13 > 0

It has two distinct real roots.

Share with friends

Customize your course in 30 seconds

Which class are you in?
5th
6th
7th
8th
9th
10th
11th
12th
Get ready for all-new Live Classes!
Now learn Live with India's best teachers. Join courses with the best schedule and enjoy fun and interactive classes.
tutor
tutor
Ashhar Firdausi
IIT Roorkee
Biology
tutor
tutor
Dr. Nazma Shaik
VTU
Chemistry
tutor
tutor
Gaurav Tiwari
APJAKTU
Physics
Get Started

3 responses to “Nature of Roots”

  1. vee kwari says:

    how do we state the nature of quadratics

    • Karthik says:

      A polynomial can have real numbers as zero(ie rational and irrational)to decide it’s nature we can use the relationship between the coefficients and zero (by comparing sum and product of zeroes)

Leave a Reply

Your email address will not be published. Required fields are marked *

Download the App

Watch lectures, practise questions and take tests on the go.

Customize your course in 30 seconds

No thanks.