q-20
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Step-by-step explanation:
x = (√p+q + √p-q)/ (√p+q - √p-q)
compound and divident method a/b = (a+b)/(a-b)
= (√p+q + √p-q + √p+q - √p-q )/ (√p+q + √p-q - √p+q + √p-q )
above and below two terms gets cancelled
= (2√p+q)/(2√p-q)
x = √p+q/√p-q
question : qx²-2px +q
q (( p+q)/(p-q)) - 2p ((√p+q)/(p-q)) + q = 0
get denomiators equal
q ((p+q)/(p-q)) - 2p((p+q)/(p-q))+ q((p-q)/(p-q)) = 0
q(p+q) - 2p(p+q) + q(p-q) = 0
pq + q² - 2p² - 2pq + qp - q² = 0
- 2p²
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