Question

if the roots of the equation q²x²+ p²x+ r² square = 0 are the square of the roots of the equation qx² + px+ r = 0 the q,p,r are in AP or GP

Answer 1

Step-by-step explanation:

Hope this helps you thank you.

Answer 2

Answer:

Step-by-step explanation:

q²x²+p²x+r²=0

let the roots be α²+β²

α²+β²=-p²/q²

qx²+px+r=0

let the roots be α and β

α+β=-p/q,αβ=r/q

α²+β²=(α+β)²-2αβ

-p²/q²=p²/q²-2r/q

-p²-p²/q²=-2r/q

-2p²/q²=-2r/q

p²q=q²r

p²=qr

p/q=r/p

therefore,q,p,r in G.P.

PLS MARKS BRAINLIEST