If
[tex] \alpha [/tex]
and
[tex] \beta [/tex]
are the zeroes of a Polynomial x²-4
[tex] \sqrt{3} x[/tex]
+ 3 then find value of
[tex] \alpha + \beta - \alpha \beta [/tex]
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If
[tex] \alpha [/tex]
and
[tex] \beta [/tex]
are the zeroes of a Polynomial x²-4
[tex] \sqrt{3} x[/tex]
+ 3 then find value of
[tex] \alpha + \beta - \alpha \beta [/tex]
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Given :-
[tex] \longrightarrow \sf {x}^{2} - 4 \sqrt{3} x + 3[/tex]
To Find :-
[tex] \longrightarrow \sf Value \: of \: \alpha + \beta - \alpha \beta [/tex]
Solution :-
[tex] \implies \sf \alpha + \beta = \frac{ - b}{a} \\ \\ \implies \sf \alpha + \beta = \frac{ - ( - 4 \sqrt{3}) }{1} \\ \\ \implies \sf \alpha + \beta = 4 \sqrt{3} [/tex]
_______________________
[tex] \implies \sf \alpha \beta = \frac{c}{a} \\ \\ \implies \sf \alpha \beta = \frac{3}{1} \\ \\ \implies \sf \alpha \beta = 3[/tex]
Now
[tex] \implies \alpha + \beta - \alpha \beta \\ \\ \implies\underline{\boxed{ \sf 4 \sqrt{3} - 3}} [/tex]