Question

Guys it is very...urgent .so plzz help me ...


what are the zeroes of 2x^2-3x+6 and the product of the zeroes??
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Answer 1

if alpha and beta are the zeroes of the polynomial 2x^2 +3x -6 then find the value of alpha^2 + beta^2

2

2x2+x-6=2x2+4x-3x-6=2x(x+2)-3(x+2)

(2x-3)(x+2)x=3/2 and x - 2let alpha

3/2 and beta -2so 2 alpha and 2 beta

is 2x3/2=3= 2 alpha and 2 beta =

-4so now 2 alpha 2 beta 3+(-4)-1 and

2 alpha x 2 beta 3x(-4) -12so are

quadratic equation will be x- sum of

zeroes)x (product of zeroes)=x2-(-1)x

(-12)=x2+x-12

Hope it may help you ⏳

Plz mark as brainliest.....

Answer 2

Given equation is:

2x ^2+3x-6=0

Comparing the above equation by using the quadratic formula the zeros of the above are{-b+ or -√(b^2–4ac)}/2a

= {-3 + or - √(9 - 4×2×(-6))}/2×2= {-3 + or - √57}/4. So, the zeros are (-3 + √57)/4, (-3 - √57)/4