If alpha and bita are zeroes of polynomial p(x)2x^2 + 5x + k statisfying the relation alpha square +bita square + alpha×bita = 21/4 . Then find the value of k
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Heya
_______________________________
Alfa + Beta = -5/2
And
Alfa × Beta = k/2
=>
Alfa² + Beta² + Alfa × Beta = 21/4
=>
( Alfa + Beta )² - Alfa × Beta = 21/4
=>
(25/ 4 ) -( k/2 ) = 21/4
=>
25 - 2k = 21
=>
-2k = 21 - 25
=>
-2k = -4
=>
k = 2
_______________________________
Alfa + Beta = -5/2
And
Alfa × Beta = k/2
=>
Alfa² + Beta² + Alfa × Beta = 21/4
=>
( Alfa + Beta )² - Alfa × Beta = 21/4
=>
(25/ 4 ) -( k/2 ) = 21/4
=>
25 - 2k = 21
=>
-2k = 21 - 25
=>
-2k = -4
=>
k = 2
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