Question
The sum of a positive number 'A' and its square is 110. Find the value of (A2 - 7
- A .
Solution
ATQ; A + A2 = 110 Or, A2 + A - 110 = 0 Or, A2 + 11A - 10A - 110 = 0 Or, (A + 11)(A - 10) = 0 So, A = 10 or A = -11 Since, 'A' is positive. So, required value = 102 - 10 × 7 = 100 - 70 = 30
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