Question

form a quadratic equation whose roots are 2 and 3​

Answer 1

Sum of roots = 2+3= 5

Product of roots = 2*3= 6

Required equation:-

x²-5x+6=0

Answer 2

Answer:

ax^2+bx=0

x=2

4a+2b=0......(1)

x=3

9a+3b=0.......(2)

multiply (1) by 3 and (2) by 2 and substract

12a+6b=0

18a+6b=0

-. -. -

___________

-6a=0

a=0

substitute in (1)

4(0)+2b=0

2b=0

b=0