Question

equação (X - 3 ) . ( X - 1 ) = 4 tranforme na equação do segundo grau ² + + = 0​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\sf Produto\,de\,Stevin}\\\rm (x+a)\cdot (x+b)=x^2+(a+b)x+a\cdot b\\\rm (x-3)\cdot(x-1)=4\\\rm x^2+(-3-1)x+(-3)\cdot(-1)=4\\\rm x^2-4x+3=4\\\rm x^2-4x+3-4=0\\\huge\boxed{\boxed{\boxed{\boxed{\rm x^2-4x-1=0}}}}\end{array}}$

Answer 2

Resposta passo a passo:

$\bold {\underline{(X-3).(X-1)}}=4$

$\bold {\underline{X.X}}+\bold {\underline{X.(-1)}}-\bold {\underline{3.X}}\bold {\underline{-3.(-1)}}=4$

$X^{2} \bold {\underline{-X-3X}}+3=4$

$X^{2} -4X+3=\bold {\underline{4}}$

$X^{2} -4X \bold {\underline{+3-4}}=0$

$\bold {\underline{X^{2} -4X-1=0}}$