[latex] \frac{ (4x+3)^{2} }{5} - \frac{ (5-x)^{2} }{4} = 1[/latex]

Умножим обе части на 20, получим 4(4x + 3)^2 - 5(5 - x)^2 = 20 4(16x^2 + 24x + 9) - 5(x^2 - 10x + 25) = 20 64x^2 + 96x + 36 -  5x^2 + 50x - 125 - 20 = 0  59x^2 + 146x - 109 = 0  D = 47040;   √D = 56√15 x₁  =( - 146 + 56√15)/(2*59) = ( - 73 + 28√15)/59; x₂  =( - 146 - 56√15)/(2*59) = ( - 73 - 28√15)/59;