272 sweets are divided between Ram and Rahim in the ratio of 7 : 9. How many sweets do they get?​

let the ratio of ram and hari be 7x and 9x respectively

7x +9x=272

or, 16x=272

or,x=272÷16

or,x=17

ratio of ram=7x=7 × 17=119

ratio pf rahim=9x=9×17=153

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0