Решите уравнения: 1) [latex](5x-2)^{2} - (3+x)^{2} = 5(6x-1)[/latex] 2) [latex] x^{3}+3x^{2} - 25x - 75=0[/latex] 3) [latex]64 - 25x^{2} =0[/latex] 4) [latex] x^{4} - 64x^{2} =0[/latex]

[latex]5x^2 -20x+4-9-6x-x^2=30x -5 \\ 4x^2-56x=0 \\ 4x(x-14)=0 \\ x=0 \\ x=14 \\ \\ x^2(x+3)-25(x+3)=0 \\ (x+3)(x^2-25)=0 \\ x=-3 \\ x=-5 \\ x=5 \\ \\ (8-5x)(8+5x)=0 \\ x= \frac{8}{5} \\ x= - \frac{8}{5} \\ \\ (x^2-8x)(x^2+8x)=0 \\ x^2-8x=0 \\ x^2+8x=0 \\ x=0 \\ x=8 \\ x=-8[/latex]