Question

If the zeros of the polynomial X square - pq + q , be in the ratio 2:3 , prove that 6 p square = 25 q.​

Answer 1

Refers to the attached Pictures

Answer 2

To prove :6p²=25q

Step-by-step explanation:

p(x)=X² - pq + q

Ratio of zeroes 2:3 ,

let, Zeroes are 2x and 3x

Sum of zeroes = -b/a

2x+3x=p

x=P/5. .......(1)

Product of the zeroes = c/a

2x(3x)=q/1

6(p²/25) =q

so, 6p²=25q

Hence proved