Question
The sum of a positive number 'A' and its square is 240.
Find the value of (A2Ā - 7A).Solution
ATQ; A + A2Ā = 240 Or, A2Ā + A - 240 = 0 Or, A2Ā + 16A - 15A - 240 = 0 Or, (A + 16)(A - 15) = 0 So, A = 15 or A = -16 Since, 'A' is positive. So, required value = 152Ā - 15 X 7 = 225 - 105 = 120
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