Question

If the sum and product of the zeroes of the polynomial p (x)=ax square -5x+c is equal to 10 each. Find the value of a and c?

Answer 1

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Answer 2

$p(x) = a {x}^{2} - 5x + c \\ sum = 5 \div a \\ (5 \div a) = 10 \\ a = (1 \div 2) \\ product = c \div a \\ (c(2)) = 10 \\ c = 5$
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