Question

2x²-6x = 0, dando o conjunto solução

Answer 1

2x² - 6x = 0

Δ = (-6)² -4.2.0
Δ = 36

x' = -b+√Δ             x'' = -b-√Δ
      ---------                   ---------
         2a                          2a

x' = 6 + 6              x'' = 6 - 6
      --------                    -------
        2.2                        2.2

x' = 12/4               x'' = 0/4
x' = 3                    x'' = 0

S={0,3}

Answer 2

Resposta:

$S=\{0,3\}$

Explicação passo-a-passo:

2x² - 6x = 0

a = 2

b = (- 6)

c = 0

$\Delta=b^{2} -4ac\\\Delta=(-6)^{2} -4\times2\times0\\\Delta=36-0\\\Delta=36$

$x=\frac{-b\pm\sqrt{\Delta} }{2a} \\\\x=\frac{-(-6)\pm\sqrt{36} }{2\times2}\\ \\x=\frac{6\pm6}{4}$

$x_{1} =\frac{6+6}{4} =\frac{12}{4} =3\\\\x_{2} =\frac{6-6}{4} =\frac{0}{4} =0$

$S=\{0,3\}$