Verified answer

x² - x = 182

x² - x - 182 = 0

(x - 14)(x + 13) = 182

x = 14 is acceptable

x^2 - x = 182

x^2 - x -182 = 0

Then, your going to use the quadratic equation to solve for x ([-b +/- sqrt(b^2- 4ac)]/2a)

a=1, b=-1, c=-182

x will equal both -13 and 14

n² - n = 182

=> n² - n - 182 = 0

so, (n - 14)(n + 13) = 0

i.e. n = 14 or n = -13

checking gives:

(14)² - 14 = 196 - 14 = 182

(-13)² - (-13) = 169 + 13 = 182

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let x be the number

x^2 - x = 182

x^2 - x + 182

factorize and you'll find a negative and a positive answer. plug in each value of x and whichever one gives you 182 is the final answer