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18. Find a natural number whose square diminishedby 84 is equal to thrice of 8 more the given number. |
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Answer» Let the natural number be 'x'.Therefore, according to the question.x² - 84 = 3(x+8)x² - 84 = 3x + 24x² - 3x - 84 - 24 = 0x² - 3x - 108 = 0x² - 12x + 9x - 108 = 0x(x - 12) + 9(x - 12) = 0(x + 9) (x - 12)⇒ x = -9 and x = 12we have to take the positive value because natural numbers cannot be negative.Therefore, the number is 12. |
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