If alpha and beta are zeros of a quadratic polynomial 4 x square - 5 x minus-1 find the Alpha square beta + alpha beta square
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Heya
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Alfa + Beta = 5/4
And
Alfa × Beta = -1/4
=>
Alfa² +Beta² = ( Alfa + Beta )² - 2 Alfa × Beta
=>
Alfa² + Beta² = 25/16 + 1/2
=>
Alfa² + Beta² = 33/8
______________________________
Alfa + Beta = 5/4
And
Alfa × Beta = -1/4
=>
Alfa² +Beta² = ( Alfa + Beta )² - 2 Alfa × Beta
=>
Alfa² + Beta² = 25/16 + 1/2
=>
Alfa² + Beta² = 33/8
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