Question

resolva com a fórmula de Baskara a equação incompleta do segundo grau

8x^2 +8x=0 ​

Answer 1

8x² +8x=0 ==> a=8, b=8, c=0

∆=b² -4ac =8² -4.8.0= 64 -0=64 =>√∆=8

x= -b±√∆/2a

x= -8±8/2.8

x' = -8+8/16 = 0/16 = 0 ✓

x" = -8-8/16 = -16/16 = -1 ✓

Answer 2

$\large \boxed{ \begin{array}{l} 8x {}^{2} + 8x = 0 \\ \\ \begin{cases} a = 8 \\ b = 8 \\ c = 0\end{cases} \\ \\ ∆ = {b}^{2} - 4ac \\∆ = 8 {}^{2} - 4.8.0 \\ ∆ = 64 - 0 \\∆ = 64 \\ \\ x = \dfrac{ - b \pm \sqrt{∆} }{2a} \\ \\ x = \dfrac{ - 8 \pm \sqrt{64} }{2.8} \\ \\ x = \dfrac{ - 8 \pm8}{16} \\ \\ x_1 = \dfrac{ - 8 + 8}{16} = \dfrac{0}{16} = \boxed{0} \\ \\ x_2 = \dfrac{ - 8 - 8}{16} = \dfrac{ - 16}{16} = \boxed{ - 1} \end{array}}$