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Question :-
If the sum and product of the zero of the polynomial ax²-5x +c is equal to 10 each find the value of 'a' and 'c'.
Given :-
Polynomial = ax²-5x +c
sum of zeros = 10
product of zeros = 10
To Find :-
Values of a and c.
Solution :-
Sum of zeroes = -b/a
⇒ -(-5)/a = 10
⇒ 5/a = 10
⇒ a = 1/2
Product of zeroes = c/a
⇒ c/a = 10
⇒ c/1/2 = 10
⇒ c = 5
Hence, the values of a and c are 1/2 and 5.
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