Question

for the quadratic equation in standard for ax2 + bx +c =0 the value of discriminant is equal to 33 then what will be the nature of the roots ? state whether the roots are rational or irrational numbers with reason​

Answer 1

if the roots equal to 33 it is a two distinct real roots

Answer 2

Given,

The standard form of the quadratic equation ax² + bx +c = 0 is given whose discriminant is 33.

To find,

We are required to find the nature of the roots and about the rationality.

Solution,

The nature of the roots is real and distinct and the roots are irrational numbers.

We can simply find the nature of the roots by observing the discriminant of the quadratic equation.

Since the discriminant of the equation is 33 i.e. D>0, then the quadratic equation will have real and distinct roots.

The roots of the equation will be irrational since D is 33 which is not a perfect square.

Hence, the nature of the roots is real and distinct and the roots are irrational numbers.