Question
Find a positive number which when increased by 26 is
equal to 120 times the reciprocal of the number?Solution
let the number be x x + 26 = 120 ×1/x x + 26 = 120/x x² + 26x = 120 x² + 26x - 120 = 0 x² - 4x + 30x - 120 = 0 x (x-4) + 30(x-4) (x+30) (x-4) = 0 x = 4, -30 (as positive integer)
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