Question

calcule a fatoração:
2x²- 10x = 0

Answer 1

$2x^2-10x=0\\x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:2\cdot \:0}}{2\cdot \:2}\\x_{1,\:2}=\frac{-\left(-10\right)\pm \:10}{2\cdot \:2}\\x_1=\frac{-\left(-10\right)+10}{2\cdot \:2},\:x_2=\frac{-\left(-10\right)-10}{2\cdot \:2}\\x=5,\:x=0$

• x = 5
• x = 0

Answer 2

• Colocamos o x em evidência:

$\boxed{ \begin{array}{lr} \\ \large \sf \: { 2x}^{2} - 10x = 0 \\ \\ \large \sf \:x(2x - 10) = 0 \\ \\ \large \sf \:x = 0 \\ \: \end{array}} \\ \\ \\ \boxed{ \begin{array}{lr} \\ \large \sf \: 2x - 10 \\ \\ \large \sf \: 2x = 10 \\ \\\large \sf \: x = \dfrac{10}{2} \\ \\ \large \sf \:x = 5\\ \: \end{array}}$

➡️ Resposta:

$\huge \boxed{ \boxed{ \sf \: S = \{0, 5 \}}}$