Question

nature of the roots of equation ax^2+bx+c=0 a,b,c are rational and delta is greater than 0 is a perfect squre then the roots​

Answer 1

Answer:

In this case, we say that the roots are imaginary. When a, b, and c are real numbers, a ≠ 0 and the discriminant is positive and perfect square, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are real, rational and unequal.

Answer 2

Answer:

The nature of roots are real and distinct.

Step-by-step explanation:

Quadratic equations are the polynomial equations of degree two in one variable.

The general form is $ax^{2} +bx+c=0$

It is given that delta is greater than zero.

The conditions are:

1. If delta is greater than zero, the roots are real and distinct.

2. If delta is less than zero, the roots are imaginary.

3. If delta is equal to zero, roots are real and equal.

Here, it is given that delta is greater than zero. It implies that  roots are real and distinct.

#SPJ3