Solve: (x3 + 3x) / (3x2 + 1) = 14/13 Share with your friends Share 1 Vijay Kumar Gupta answered this Consider the following equation. x3+3x3x2+1=1413Cross multiply and use distributive property to get, 13x3+3x=143x2+1 13x3+39x=42x2+14Take all the terms on left hand side to get, 13x3-42x2+39x-14=0Factorize as follows: 13x3-26x2-16x2+32x+7x-14=0Take 13x2 as common from first two terms, -16x as common from 3rdand 4th terms and 7 as common from last two terms. 13x2x-2-16xx-2+7x-2=0 x-213x2-16x+7=0 Equate both the factors to zero.The first factor gives, x-2=0 x=2 The second factor gives, 13x2-16x+7=0This equation has no real roots as determinant is negative. -162-4137=256-364=-108Thus the only real solution is x=2 -1 View Full Answer
