Question

If alpha and beta are the roots of x^2-12x+32 then alpha^2+ beta^2 / alpha+beta is equal to

Answer 1

Answer:

20/3

Step-by-step explanation:

x2 - 12x + 32

x2 - 8x - 4x + 32

x(x-8) - 4(x-8)

(x-4)(x-8)

x = 4,8

Alpha2 + Beta2 / Alpha + Beta

[ (Alpha + Beta)2 =  Alpha2 + Beta2 + 2 Alpha*Beta ]

(Alpha + Beta)2 - 2 Alpha*Beta / Alpha + Beta

[(4+8)2] - [2*32] / 12

144 - 64 / 12

80 / 12

20/3