If alpha and beta are the zeros of the p(x) = x² -6x + k then find k if alpha² + beta² =40
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Heya!!
Alfa² + Beta² = (Alfa + Beta)² -2 Alfa ×
Beta
=>
Alfa + Beta = 6 And Alfa × Beta = k
=>
40 = (6)² -2k
=>
2k = -4
k = -2
Alfa² + Beta² = (Alfa + Beta)² -2 Alfa ×
Beta
=>
Alfa + Beta = 6 And Alfa × Beta = k
=>
40 = (6)² -2k
=>
2k = -4
k = -2
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