Question

Determine o conjunto solução das equações
a) x(x –10)=0​

Answer 1

$x\cdot (x - 10) = 0$

$x^2 - 10x = 0$

Aplicando Bhaskara:

$x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}$

$x = \dfrac{-(-10)\pm \sqrt{(-10)^2 - 4\cdot 1\cdot 0}}{2\cdot 1}$

$x = \dfrac{10\pm \sqrt{100 - 0}}{2}$

$x = \dfrac{10\pm 10}{2}$

$x_1 = \dfrac{10 + 10}{2}$

$x_1 = 10$

$x_2 = \dfrac{10 - 10}{2}$

$x_2 = 0$

$S = \{10, 0\}$

Answer 2

Resposta:

$x(x - 10) = 0 \\ x {}^{2} - 10x = 0 \\ delta = ( - 10) {}^{2} - 4 \times 1 \times 0 = 100 \\ x1 = \frac{10 - \sqrt{100} }{2 \times 1} = \frac{10 - 10}{2} = \frac{0}{2} = 0 \\ x2 = \frac{10 + \sqrt{100} }{2 \times 1} = \frac{10 + 10}{2} = \frac{20}{2 } = 10$