if alpha and beta are zeros of the polynomial 2x^2 + 5x + k given that (alpha + beta) - alpha beta =24
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Heya
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ax² + bx + c =0
Alfa + Beta = -b/a
And
Alfa × Beta = c/a
=>
Alfa + Beta = -5/2
And
Alfa × Beta = k/2
ACCORDING TO THE QUESTION
( -5/2 ) - ( k/2 ) = 24
=>
-5 - k = 48
=>
- k = 48 + 5
=>
k = -53
______________________________
ax² + bx + c =0
Alfa + Beta = -b/a
And
Alfa × Beta = c/a
=>
Alfa + Beta = -5/2
And
Alfa × Beta = k/2
ACCORDING TO THE QUESTION
( -5/2 ) - ( k/2 ) = 24
=>
-5 - k = 48
=>
- k = 48 + 5
=>
k = -53
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