.Twenty one times of a positive number is less than its square by 100. The value of the positive number is
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Solution : Here , we need to find the positive number. Let us assume that the positive number is x. According to the question,twenty one times of a positive number is less than its square by 100.
This means :
21x + 100 = x^2
> x^2 -21x - 100 = 0
> x^2 - 25x + 4x - 100 = 0
> x(x - 25) + 4(X - 25) = 0
> (x+4)(x-25) = 0
The value of x is 25 only. ( As x is positive ) .
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