Question

If alpha and beta are the zeroes of p(x)=4x square -4x +1 , then find alpha by beta +beta by alpha

Answer 1

Heya !!!


P(X) = 4X²-4X+1


Here,



A = 4 , B = -4 and C = 1


Sum of zeroes = -B/A



Alpha + Beta = -(-4)/4

Alpha + Beta = 4/4 = 1



And,



Product of zeroes = C/A

Alpha × Beta = 1/4




Therefore,


Alpha / Beta + Beta / Alpha



=> (Alpha)² + (Beta)²/ Alpha × Beta



=> (Alpha + Beta)² - 2 Alpha Beta / Alpha × Beta


=> (1)² - 2




=> 1-2



=> -1



HOPE IT WILL HELP YOU.... :-)