Question

encontrar o conjunto solução da equação x (x-1)=11x-36

Answer 1

$Ol\acute{a},\;bom\;dia!\\\\x(x-1)=11x-36\\x^2-x=11x-36\\x^2-x-11x+36=0\\x^2-12x+36=0\\\\Coeficientes:\;a=1,\;b=-12\;e\;c=36\\\\\Delta=b^2-4ac\\\Delta=(-12)^2-4\cdot1\cdot36\\\Delta=144-144\\\Delta=0\\\\Quando\;\Delta=0,\;o\;valor\;de\;x\;\acute{e}\;s\acute{o}\;um.\\\\x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\\x=\dfrac{-(-12)\pm\sqrt{0}}{2\cdot1}\\\\x=\dfrac{12}{2}\\\\x=6\\\\\\Espero\;ter\;ajudado.\\Bons\;estudos!\;=)$