0\\\\m^{2}-m-2=0\\\\D=(-1)^{2}-4*(-2)=1+8=9=3^{2} \\\\m_{1}=\frac{1+3}{2} =2\\\\m_{2}=\frac{1-3}{2}=-1" alt="25^{x}-5^{x}-2=0\\\\5^{x}=m,m>0\\\\m^{2}-m-2=0\\\\D=(-1)^{2}-4*(-2)=1+8=9=3^{2} \\\\m_{1}=\frac{1+3}{2} =2\\\\m_{2}=\frac{1-3}{2}=-1" align="absmiddle" class="latex-formula">