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Answer the question that i had attached with help of image

Answer the question that i had attached with help of image 

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Grade:8

2 Answers

Arun
25750 Points
3 years ago
Dear student
 
Let alpha = p ans beta = q
 
Hence p/q + q/p = p² +q² /pq
 = (b²/a² - 2c/a )/(c/a) = (b² - 2ac)/ac
Shivani
14 Points
3 years ago
alpha + beta = b/a         and         alpha × beta = c/a    …...(2)
(alpha + beta)2 = b2/a2
alpha2 + beta2 + 2alpha×beta = b2/a2
alpha2 + beta2 + 2c/a = b2/a2
alpha2 + beta2 = b2/a2 – 2c/a 
alpha2 + beta2 = b2/a2 – 2ac/a2
alpha2 + beta2 = (b2 – 2ac)/a2                    ….....(1)
alpha/beta + beta/alpha = (alpha2 + beta2) / alpha × beta = ((b2 – 2ac)/a2) / (c/a) = (b2 – 2ac) / ac
 

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