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 rectangle ... 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 ... A painter is making a rectangular canvas for her next painting. She wants the legnth of the canvas ... Is #f(x)= 3x^2# an exponential function? See all questions in Linear, Exponential, and Quadratic Models Impact of this question 511 views around the world You can reuse this answer Creative Commons License