Sarosh is arguing with Vignesh that the number of real roots of a quadratic equation depends on discriminant. Is Sarosh’s argument true or false?

True

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

False

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

Open in App

Solution

The correct option is A
True

For the quadratic equation $a x^{2} + b x + c = 0$ the number of real roots depends on whether discriminant is greater than zero or not.

If the discriminant is greater than zero, then it will have two roots, and if it is less than zero there will be no roots, and if it is equal to zero, it will be one same root.

Suggest Corrections

Similar questions

State true or false. The discriminant for general quadratic equation $a x^{2} + b x + c = 0$ is $b^{2} - 4 a c$ .

Question 2 (ii)
Write whether the given statement is true or false. Justify your answer.
Every quadratic equation has at least one real roots.

Write whether the following statemensst are true or false .Justify your answers :

1.Every quadratic equation has at least one real root

2.If in a quadratic equation of ,the coeffecient of x is zero then the quadratic equation has no real roots .

3.If the coeffecient of x2 and the constant term of the quadratic equation have opposite signs ,then the quadratic equation has real roots .

4.A quadratic equation with integeral coeffecient has integral roots.

Join BYJU'S Learning Program