Question

x² + 3x - 10 = 0
a) identifique os coeficientes a b e c
b) calcule o valor de Δ = b² - 4ac
c) Determine os valores de x= -b+- √Δ

Answer 1

a) a = 1; b = 3; c = - 10

b) $\Delta = b^2 - 4 * a * c \\ \Delta = 3^2 - 4 * 1 * (-10) \\ \Delta = 9 + 40 \\ \Delta = 49$

c) $x = \frac{-b\pm\sqrt{\Delta}}{2*a} = \frac{-3\pm\sqrt{49}}{2*1} = \frac{-3\pm7}{2} \\ \\ x' = \frac{-3+7}{2} = \frac{4}{2} = 2 \\ \\ x'' = \frac{-3-7}{2} = \frac{-10}{2} = -5$