Question #53d32 Algebra Quadratic Equations and Functions Linear, Exponential, and Quadratic Models 1 Answer Ratnaker Mehta Mar 29, 2017 # 58975/20736, or, -58975/20736.# Explanation: #x+1/x=2 1/12=25/12.# # rArr (x^2+1)/x=25/12.# # rArr 12x^2+12=25x.# # rArr 12x^2-25x+12=0.# # rArr 12x^2-16x-9x+12=0,...[16xx9=144, 16+9=25].# # rArr 4x(3x-4)-3(3x-4)=0.# # rArr (3x-4)(4x-3)=0.# # rArr x=4/3, or, x=3/4.# #x=4/3rArrx^4-1/x^4=(4/3)^4-(3/4)^4=256/81-81/256=58975/20736.# #x=3/4rArrx^4=1/x^4=(3/4)^4-(4/3)^4=-58975/20736.# Enjoy Maths.! Answer link Related questions What is the linear regression line? How do you determine if the following data set is linear or quadratic: (-4,10), (-3,7), (-2,4),... How do you know if the following data set is exponential: (0,120), (1, 180), (2, 270), (3, 405)? How do you use the graphing calculator to find the linear regression line? How do you find the best function that models: (-3, 14), (-2, 4), (-1, -2), (0, -4), (1, -2)? If the same amount is added to one dimensions and removed from the other, the resulting... A child care center has 440 feet of fencing to enclose two adjacent rectangular safe play areas.... How do you write the quadratic equation of the graph with the given points (-3, 4), (1,0), and (-1,-2)? A painter is making a rectangular canvas for her next painting. She wants the legnth of the... Is #f(x)= 3x^2# an exponential function? See all questions in Linear, Exponential, and Quadratic Models Impact of this question 1210 views around the world You can reuse this answer Creative Commons License