If the sum and the product of the polynomial ax2-5x+c is equal to 10each.Find the values of a and c

Given : ax² – 5x + c

Sum of roots = Product of roots = 10

We need to find that values of a and c

Values of coefficients as per given quadratic polynomial : a = a, b = -5 , c = c

Sum of roots = -b/a = -(-5)/a = 5/a

Product of roots = c/a

So 5/a = c/a

Hence c=5

Given that Sum of roots = Product of roots = 10

-(-5)/a = 10

5/a = 10

5 =10 a

a = 5/10 = 1/2

Hence, a = 1/2 , c = 5

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