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$1) \frac{3}{5} x^2-x+2=0 \\ D=1-3*2* \frac{3}{5}\ \textless \ 0$
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$2) \frac{1}{7}x^2-2x+7=0 \\ x^2-14x+49=0 \\ x_{1}+ x_{2}=14 \\ x_{1}* x_{2}=49 \\ x_{1,2}=7$

$3)x^2-x-56=0 \\ x_{1} + x_{2}=1 \\ x_{1}* x_{2}=-56 \\ x_{1}=8 \\ x_{2}=-7$

$4)(3x-1)^2+15x=11 \\ 9x^2-6x+1+15x-11=0 \\ 9x^2+9x-10=0 \\ D=81+360=441=21^2 \\ x_{1}= \frac{-9-21}{18}= \frac{-30}{18}=- \frac{5}{3} \\ x_{2}= \frac{-9+21}{18}= \frac{12}{18}= \frac{2}{3}$

$5)x^2-2 \sqrt{3}x+2=0 \\ D=(-2 \sqrt{3})^2-8=4=2^2 \\ x_{1}= \frac{2 \sqrt{3}-2 }{2}= \sqrt{3}-1 \\ x_{2}= \frac{2 \sqrt{3}+2 }{2}= \sqrt{3}+1$