If the sum and product of the zeros of the polynomial ax2
– 5x + c is 10 find a and
c.
Answers
Answered by
2
Answer:
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
Step-by-step explanation:
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Answered by
0
Answer:
sum of the zeros = -b/a
10 = 5/a
5/10 = a
so , a = 1/2
product of the zeros = c/a
10 = c/a
c=10a
since a =1/2 we get
c = 10 × 1/2
c = 5
therefore the values of a and c are 1/2 and 5 respectively.
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