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3(2х²+5х)-(2х²+5х+1)²=23

3(2х² + 5х)² - (2х² + 5х + 1)² = 23Пусть 2х² + 5х = t3t^2 - (t + 1)^2 = 233t^2 - (t^2  + 2t + 1) - 23 = 03t^2 - t^2 - 2t - 1 - 23 = 02t^2 - 2t - 24 = 0   /:2t^2  - t - 12 = 0 D = 1 +  48 = 49t1 = ( 1 + 7)/2 = 8/2 = 4;t2 = ( 1 - 7)/2 = - 6/2 = - 3Обратная замена2х² + 5х = 4 2х² + 5х - 4 = 0 D = 25 + 32 = 57x₁ = ( - 5 + √57)/4x₂ =  ( - 5 - √57)/42x² + 5x = - 32x² + 5x + 3  = 0 D = 25 - 24 = 1x₃ = ( - 5 + 1)/4 = - 4/4 = - 1 x₄ = ( - 5 - 1)/4 = - 6/4 = - 1,5