The value of the k for the polynomial 2x square +5x +k a square+ b square = 21 by 4 is
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Step-by-step explanation:
polynomial = 2x²+5x+k....... given
a and b are zeroes
a²+b² = 21/4.............. given
=> (a+b)² - 2ab = 21/4
=> -5/2-2×k/2 = 21/4
=> -5-2k = 21×2/4= 21/2
=> -2k = 21/2+5= 31/2
=> k = 31 / ( 2×-2) = -31/4
=> k = -31/4
formula used
(1) A²+B² = ( A+B)²-2AB
(2) alfa+beta= -b/a
(3) alfa×beta = c/a
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