Question

Represent the situation in the form of quadratic equation : the product of rahman's age (in years) 5 years with his age 9 years later is 15.

Answer 1

let his age is = x
let rahman age = y
acc. to ques.
(x)(y) = 5...........(1)
after 9 years
his age = x+9
rahman age = x+9
acc.to ques.
(x+9)(y+9)=15
xy+9x+9y+81=15
using (1)
5+9x+9y+81=15
9x+9y+81=10.............(2)
from eq.(1)...y=5/x put in eq.(2)
9x+9(5/x)+81=10
9x+45/x+81=10
9x2+71x+45=0........this 2 means square
this is quad.eq.

Answer 2

(x-5)(X+8)=15

x^2+9x-5x-45=15

x^2+4x-45-15=0

x^2+4x-60