if
sum
and product
of polynomial
of
ax^2-5x+c is 10
find
a and C
Answers
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Answer:
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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