Решите уравнения а)(m+1)!\(m-1)!= 30 b)(k+3)!\(k+1)!=42 c) (m+5)!\(m+3)!=56

a) [latex]m(m+1)=30[/latex] [latex] m^{2} +m-30=0[/latex] [latex]m_{1} =-6[/latex] [latex]m_{2} =5[/latex] b) [latex](k+2)(k+3)=42[/latex] [latex] k^{2} +5k+6-42=0[/latex] [latex] k^{2} +5k-36=0[/latex] [latex] k_{1} =-9[/latex] [latex]k_{2} =4[/latex] c) [latex](m+4)(m+5)=56[/latex] [latex] m^{2} +9m+20-56=0[/latex] [latex] m^{2} +9m-36=0[/latex] [latex] m_{1}=-12 [/latex] [latex] m_{2} =3[/latex]