Question

if alpha and beta are the two zeroes of the polynomial 3x2-12x+25 find the value of alpha square + beta square​

Answer 1

Answer: -2/3

Step-by-step explanation:

it can be re written as x2 -4x +25/3 = 0

so

$\alpha +\beta =4\\\alpha \beta =25/3$

now

$\alpha ^2+\beta ^2 =(\alpha +\beta )^2-2\alpha \beta \\\alpha ^2+\beta ^2= (4)^2-2*25/3\\\alpha ^2+\beta ^2 = 16-50/3\\\alpha ^2+\beta ^2 = (48-50)/3\\\alpha ^2+\beta ^2 =-2/3$