Let a, b, c > O be three numbers such that a + b + c= 10, then a^2bc can be 10
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Given : a, b, c > 0 be three numbers such that a + b + c= 10
To Find : a²bc can be 10 or not
Solution
Lets take a = 1
a + b + c = 10
=> 1 + b + c = 10
=> b + c = 9
a²bc = 10
=> 1² bc = 10 => bc = 10
b (9 - b ) = 10
=> b² - 9b + 10 = 0
=> b = (9 ± √41) /2
b = (9 + √41) /2 => c = (9 -√41) /2
or
b = (9 - √41) /2 => c = (9 + √41) /2
Hence possible
a²bc can be 10
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