# SOLUTION: Find the number that is 7/12 less than its reciprocal

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 Click here to see ALL problems on Numbers Word Problems Question 367439: Find the number that is 7/12 less than its reciprocalAnswer by mananth(12270)   (Show Source): You can put this solution on YOUR website!let the number be x its reciprocal = 1/x x= 1/x -7/12 x-1/x = -7/12 x^2- 1 /x = -7/12 12(x^2-1)= -7x 12x^2-12 = 7x 12x^2+7x-12 =0 use quadratic equation to find the roots x1=(-7+sqrt(625))/24 x1= 0.75 x2=(-7-sqrt(625))/24 x2= -1.333 .. m.ananth@hotmail.ca