Question

Alpha and beta are the zeros of 2 x square - 4 x + 5 then find the value of 1 by alpha square + 1 by metre square

Answer 1

Heya !!!





P(X) = 2X²-4X+5




Here,



A = 2 , B = -4 and C = 5






Sum of zeroes = -B/A





Alpha + Beta = -(-4)/2





Alpha + Beta = 2 ---------(1)




And,




Product of zeroes = C/A



Alpha × Beta = 5/2 --------(2)








Therefore,




1/(Alpha)² + 1/ (Beta)²







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






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





=> ( 2)² - 2 × 5/2/ ( 5/2)²




=> 4 - 5 / 25 / 4





=> -1/25/4 /1






=> -1 / 25 × 1/4



=> -1/100


★ ★ ★ HOPE IT WILL HELP YOU ★ ★ ★

Answer 2

Hi,

Please see the attached file!



Thanks