Question

If one root of the equation X2+px+q=0 is 4 times the other prove that 4p2-25q=0

Answer 1

Step-by-step explanation:

plz find the answer in attachment

Answer 2

Answer:

let the roots of the provided equation be x and y

A T Q

X = 4Y.........................1

NOW

X+Y = -b/a

4Y+Y = -p/1

5Y = -p...........................2

Y = -p/5

Also

XY = c/a

4Y.Y = q/1

4(-p/5)(-p/5) = q......................(using equation 2)

4(p2/25) = q

4p2 = 25q

4p2-25q = 0

Hence proved