if alpha and beta are zeros of the polynomial 3x square +11 x-4 find the value of alpha by beta plus beta by alpha
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Heya
______________________________
Alfa + Beta = -11/3
And
Alfa × Beta = -4/3
=>
Alfa² + Beta²
___________ =
Alfa × Beta
( Alfa + Beta )² - 2 Alfa × Beta
__________________
Alfa × Beta
=>
( -11/3 )² - 2 ( -4/3)
_____________
( -4/3 )
=>
( 121 + 24 )
________
-12
=>
-145/12
______________________________
Alfa + Beta = -11/3
And
Alfa × Beta = -4/3
=>
Alfa² + Beta²
___________ =
Alfa × Beta
( Alfa + Beta )² - 2 Alfa × Beta
__________________
Alfa × Beta
=>
( -11/3 )² - 2 ( -4/3)
_____________
( -4/3 )
=>
( 121 + 24 )
________
-12
=>
-145/12
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