Решить уравнения.а)[latex] \sqrt{57-3x} =3[/latex] б)[latex] \sqrt{ \frac{3x-17}{7} } =4[/latex] в)[latex] \sqrt{x-3} * \sqrt{2x+1} =0[/latex]

[latex] \sqrt{57-3x}=3 \\ 57-3x=9 \\ -3x=9-57 \\ -3x=-48 \\ x=16 [/latex] [latex] \sqrt{57-3*16}= \sqrt{57-48}= \sqrt{9}=3 [/latex] [latex] \sqrt{ \frac{3x-17}{7}}=4 \\ \frac{3x-17}{7}=16 \\ 3x-17=112 \\ 3x=129 \\ x=43 [/latex] [latex] \sqrt{ \frac{3*43-17}{7}}= \sqrt{ \frac{129-17}{7}}= \sqrt{ \frac{112}{7}}= \sqrt{16}=4 [/latex] [latex] \sqrt{x-3} * \sqrt{2x+1}=0 \\ (x-3)(2x+1)=0 \\ 2x^2-6x+x-3=0 \\ 2x^2-5x-3=0 \\ D=49 \\ x_1=-0.5 \\ x_2=3 [/latex]