Question

Me ajuda por favor
1
X+--------=6
X4

Answer 1

Resposta:

$x+{1\over x-4}=6\\ \\ mmc=x-4\\ \\ x(x-4)+1=6(x-4)\\ \\ x^2-4x+1=6x-24\\ \\ x^2-4x-6x+1+24=0\\ \\ x^2-10x+25=0\\ \\ a=1\\ b=-10\\ c=25\\ \\ \Delta=b^2-4ac\\ \Delta=(-10)^2-4(1)(25)\\ \Delta=100-100\\ \Delta=0\\ \\ x={-b\pm\sqrt{\Delta} \over2a}={-(-10)\pm\sqrt{0} \over2(1)}={10\over2}=5\\ \\ x_1=x_2=5\\ \\ S=\{5\}$