Question

rápido preciso de ajuda na conta ache as raizes (x-1)(x-2)=6 na forma delta

Answer 1

$(x-1)(x-2)=6\\\\\\ x^{2} -2x-x+2=6\to\\\\ x^{2} -2x-x+2-6=0\to\\\\ x^{2} -3x-4=0\\\\ a=1;b=-3;c=-4\\\\ \Delta=b^2-4ac\to \Delta=(-3)^2-4*1*(-4)\to \Delta=9+16\to \Delta=25\\\\ x= \frac{-b+- \sqrt{\Delta} }{2a} \to x= \frac{-(-3)+- \sqrt{25} }{2*1} \to x= \frac{3+- 5 }{2} \to \\\\ x'= \frac{3+5 }{2} \to x'= \frac{8}{2} \to x'=4\\\\ x''= \frac{3- 5 }{2} \to x''= \frac{-2 }{2} \to x''=-1\\\\\\ S=(-1;4)$



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