find the non zreo values of p and q for which p and q are zeroes of xsqare+px+q
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We have , a quadratic polynomial with zeros p and q =x^2 + px + q .
Thus , according to the question
Product of zeros = pq = c/a = q/1
→ pq = q
→ p=1.....(1)
Now , sum of zeros = p+q = -b/a = -p/1
→p+q= -p
→1+q=-1 {using ...(1) }
→q=-1-1
→q=-2 .
Thus , p= 1 and q=-2
Thus , according to the question
Product of zeros = pq = c/a = q/1
→ pq = q
→ p=1.....(1)
Now , sum of zeros = p+q = -b/a = -p/1
→p+q= -p
→1+q=-1 {using ...(1) }
→q=-1-1
→q=-2 .
Thus , p= 1 and q=-2
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