Question

equação 2 grau Resolva e faça o passo a passo do exercício x²-4x+3+0

Answer 1

$\boxed{\begin{array}{l}\sf x^2-4x+3=0\\\sf a=1~~b=-4~~c=3\\\sf\Delta=b^2-4ac\\\sf\Delta=(-4)^2-4\cdot1\cdot3\\\sf\Delta=16-12\\\sf\Delta=4\\\sf x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\sf x=\dfrac{-(-4)\pm\sqrt{4}}{2\cdot1}\\\sf x=\dfrac{4\pm2}{2}\begin{cases}\sf x_1=\dfrac{4+2}{2}=\dfrac{6}{2}=3\\\sf x_2=\dfrac{4-2}{2}=\dfrac{2}{2}=1\end{cases}\\\sf s=\{2,3\}\end{array}}$