Main content

Class 10 math (India)

Course: Class 10 math (India) > Unit 4

Lesson 4: Nature of roots

Using the quadratic formula: number of solutions
Number of solutions of quadratic equations
Discriminant for types of solutions for a quadratic
Equations with equal roots (intermediate)
Equations with equal roots (advanced)
Finding nature of roots

Finding nature of roots

You might need: Calculator

Given below is a quadratic equation in terms of x, with nonzero coefficients m and n.

x, squared, plus, 2, left parenthesis, m, plus, n, right parenthesis, x, plus, 2, left parenthesis, m, squared, plus, n, squared, plus, m, n, right parenthesis, equals, 0

What can we say about its roots?

(Choice A)
There are two distinct real roots for any value of m and n.
(Choice B)
There are two equal real roots for any value of m and n.
(Choice C)
The are no real roots for any value of m and n.
(Choice D)
We can't say anything for sure without the values of m and n.

Stuck?

Class 10 math (India)

Course: Class 10 math (India) > Unit 4

Problem