Question

if a,bcan take value 1,2,3,4 then no.of equations of the form ax²+bx+c=0 having real roots​

Answer 1

Answer:

If it has real roots then b^2>=4ac.

a and b can only be 1,2,3,4.

If b=2, a can 1 and c can be 1 .......(Possibility 1)

If b=3, a can 2 and c can be 1 .......(Possibility 2)

If b=3, a can 1 and c can be 1 .......(Possibility 3)

If b=4, a can 2 and c can be 2 .......(Possibility 4)

If b=4, a can 3 and c can be 1 .......(Possibility 5)

If b=4, a can 1 and c can be 3 .......(Possibility 6)

If b=4, a can 1 and c can be 1 .......(Possibility 7)

Hope it helps.

Answer 2

For the equation to have real roots b^2>4a

4a = 4, 8, 12, 16

b^2= 1,4,9, 16

We can have b= 3 and a=1 or 2

b= 4 and a =1,2 or 3

In all

a=1, b=3

a=1, b=4

a=2, b=3

a=2 b=4

a=3 b=4

HOPE IT HELPS...