7m + 2n / 7m -2n =5/3 Use properties of proportion to find out
(i) m:n
(ii) m2 +n2/m2-n2
Answers
Answered by
33
Answer:
8/7
113/15
Step-by-step explanation:
7m + 2n / 7m -2n =5/3
Let say m = nk
(7nk + 2n)/(7nk - 2n) = 5/3
=> (7k + 2)/(7k - 2) = 5/3
=> 21k + 6 = 35k - 10
=> 16 = 14k
=> k = 16/14
=> k = 8/7
m/n = k = 8/7
(m² + n²)/(m² - n²)
= n²(k² + 1)/n²(k² - 1)
= (k² + 1)/(k² - 1)
= ( (8/7)² + 1) /( (8/7)² - 1)
= (8² + 7²)/(8² - 7²)
= (64 + 49)/(64 - 49)
= 113/15
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