Question

If x=4 and x=5 are the roots of the equation x²-3px+5q=0 so then find the values of p and q​

Answer 1

Answer:

p = 3 and q = -4

Step-by-step explanation:

Since x=4 and x=5 are roots of the equation, (x-4) and  x-5 are the factors of the equation.

so the equation is,

( x - 4 ) ( x - 5 ) = 0

x² - 5x - 4x - 20 = 0

x²  - 9x - 20 = 0

x² - 3(3)x + 5 (-4) = 0

on comparing with x² -3px+5q=0, we get p = 3 and q = -4.