check whether 5/2 is the zero of the polynomial 4x2-8kx+9 and also find the value of k
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4x²-8kx+9 = 0
put x = 5/2
4(5/2)²-8k(5/2)+9 = 0
4(25/4) - 8k(5/2) + 9 = 0
100/4 - 40k/2 + 9 = 0
25 - 20k + 9 = 0
34 - 20k = 0
20k = 34
k = 34/20
k = 17/10
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