# Quadratic Equations Practice Problem 2

## Which of the following is a quadratic equation?

A. xÂ³ + 2x + 1 = xÂ² + 3

B. – 2x = (5 – x) (2x –Â $$\frac{2}{5}$$)

C. ( k + 1 )xÂ² +$$\frac{3}{2}$$x=7, where k = -1

D. xÂ³xÂ² = (xÂ³)

Option A – has no real roots

Option B is independent of term xÂ²

Option C is also independent of term xÂ²Â for k= -1

Option D implies

xÂ² =1

x=Â Â±1

Hence answer is Option D

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.
Ashhar Firdausi
IIT Roorkee
Biology
Dr. Nazma Shaik
VTU
Chemistry
Gaurav Tiwari
APJAKTU
Physics
Get Started

## Browse

### 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)