Question

1) ) Escreva as equações na forma geral é resolva.
a) (x-1) (x-2) =6
b)(2x-3) (x-8) = 34
OBS: todas as contas e necessario fazer os calculos do metodo delta

Answer 1

a)  $x^{2} -2x-x+2=6 \\ x^{2} -3x-4=0$

$x= \frac{-b+ \sqrt{b^2-4ac} }{2a} \\ x= \frac{3+ \sqrt{(-3)^2-4*1*(-4)} }{2*1} \\ x= \frac{3+ \sqrt{9+16} }{2} \\ x= \frac{3+5}{2} \\ x=4$

$x= \frac{-b- \sqrt{b^2-4ac} }{2a} \\ x= \frac{3-5}{2} \\ x=-1$

b)  $2x^2-16x-3x+24=34 \\ 2x^2-19x-10=0$

$x= \frac{-b+ \sqrt{b^2-4ac} }{2a} \\ x= \frac{19+ \sqrt{(-19)^2-4*2*(-10)} }{2*2} \\ x= \frac{19+ \sqrt{361+80} }{4} \\ x= \frac{19+21}{4} \\ x=10$

$x= \frac{-b- \sqrt{b^2-4ac} }{2a} \\ x= \frac{19-21}{4} \\ x= -\frac{1}{2}$