Question

lf alpha and beta r the zeros of polynomial p of x =3xsquare -12x + 15 find the value of alpha square +beta square ​

Answer 1

Step-by-step explanation:

sum of zeroes=-b/a

alpha+beta=-(-12)/3

alpha+beta=4

Now..

product of zeroes =c/a

alpha×beta=15/3

alpja×beta=5

Now....

(alpha+beta)^2=(4)^2. {squaring both side}

alpha^2+beta^2+2×alpha×beta=16

alpha^2+beta^2+2×5=16

alpha^2+beta^2+10=16

alpha^2+beta^2=6......

it is correct answer

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