The equation: 3a2 - 14ab + 15b2 = 0, will hold good if the values of a and b are in the ratio:
Answers
Answer:
(5:3) or (3:1)
(3:5) or (1:3)
(1:5) or (1:3)
(7:3) or (3:1)
Given : The equation: 3a² - 14ab + 15b² = 0, hold good
To Find : Ratio of the values of a and b
(5:3) or (3:1)
(3:5) or (1:3)
(1:5) or (1:3)
(7:3) or (3:1)
Solution:
3a² - 14ab + 15b² = 0
Using middle term split
=> 3a² - 9ab - 5ab + 15b² = 0
=> 3a(a - 3b) - 5b(a - 3b) = 0
=> (a - 3b)(3a - 5b) = 0
a - 3b = 0
=> a = 3b
=> a /b = 3
=> a : b = 3 : 1
or
3a - 5b = 0
=> 3a = 5b
=> a/b = 5/3
=> a : b = 5 : 3
Hence (5:3) or (3:1) is the correct answer
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