Question

if alpha and beta are the zeros of quadratic polynomial FX = to 6 X square + X - 2 then find the value of Alpha square plus beta square

Answer 1

see the attachment above...
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i hope this will help

Answer 2

HELLO DEAR,

6X² + X - 2 = 0

where,

a = 6

b = 1

c = (-2)

now,

we know that:-

α * β = c/a

α + β = -b/a = 1/6

now on squaring both side,

we get,

α² + β² + 2αβ = 1/36

α² + β² = 1/36 - 2(-2/6)

α² + β² = 1/36 + 2/3

α² + β² = (3 + 72)/108

α² + β² = 75/108

α² + β² = 25/36

I HOPE ITS HELP YOU DEAR,
THANKS