Five times a certain whole number is equal to three less than twice the square of the number. Find the number.
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Answer:
let the number be x
as per the given condition,
5x = 2x² - 3
=> 2x² - 5x - 3 = 0
=> 2x² - 6x + x - 3 = 0
=> 2x (x - 3 ) + 1 (x - 3)
=> (2x + 1)(x - 3) = 0
=> 2x + 1 = 0 or x = -1/2 and x-3 = 0 or x = 3
=> -1/2 is not a whole number
therefore x = 3 is the answer
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