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Question

If sum and product of the zeroes of the polynomial ax^2-5x+c equal to 10 each. Find a and c

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Solution

sum of zeroes = -b/a. = -(-5)/a. =10

then. ,5=10a

a. = 5/10= 1/2

now product of zeroes. =c/a= 10

c/1/2=. 10..............( putting a=1/2 )

now 2c=10

c=10/2

c. = 5

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