Question

what is nature of roots

Answer 1

Here a, b and c are real and rational. Then, the nature of the roots α and β of equation ax 2 + bx + c = 0 depends on the quantity or expression i.e., (b 2 - 4ac) under the square root sign. Thus the expression (b 2 - 4ac) is called the discriminant of the quadratic equation ax 2 + bx + c = 0.

Answer 2

Step-by-step explanation:

For quadratic equation

ax²+bx+C= 0,

b²-4ac is Discriminant (D)

Case 1-

If D >0 then roots there will be Two distinct real roots

Case 2-

D = 0 then there will be two equalreal roots.

Case 3-

D < 0 then No real roots (imaginary)