Question

if alpha and beta are zeros of quadratic polynomial X square + x minus 6 find the value of 1/alpha square+1/beta square​

Answer 1

Answer:

13/36

Step-by-step explanation:A.T.Q ZEROES ARE α AND β

WE HAVE TO FIND THE VALUE OF [1÷α² +1÷β²]

GIVE EQUATION:

X²+X-6

X²+3X-2X-6

X[X+3}-2[X+3]

[X+3][X-2]

X= -3 OR X=2

∴α= -3 AND β=2

NOW PUTTING VALUE OF α AND β,WE GET

1/[-3]² + 1/[2]²

1/9 + 1/4

[4+9]/36

13/36

Answer 2

Answer:

Step-by-step explanation:

ZEROES ARE α AND β

WE HAVE TO FIND THE VALUE OF [1÷α² +1÷β²]

GIVE EQUATION:

X²+X-6

X²+3X-2X-6

X[X+3}-2[X+3]

[X+3][X-2]

X= -3 OR X=2

∴α= -3 AND β=2

NOW PUTTING VALUE OF α AND β,WE GET

1/[-3]² + 1/[2]²

1/9 + 1/4

[4+9]/36

13/36