If the sum and product of the zeroes of the polynomial ax^2-5x+c is equal to 10 each. Find the values of a and c
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Answered by
2
Answer:
let the zeroes of the equation be p and q.
hence, given- p×q=10 and p+q=10
also we know sum of roots= -coffi. of x÷ coffi. of x^2
and product of roots = coffi.. of x^0÷ coff. of x^2
therefore, p+q= 5/a=10
a=5/10=0.5
and p×q= c/a=10
c/0.5 =10
c= 10×0.5=5
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Answered by
3
Answer:
a = -1/2, c = -5
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