Question

a equação x² - 3 x = - 2

Answer 1

x² - 3x = -2
x² - 3x + 2 = 0

a = 1
b = -3
c = 2

Δ = b² - 4ac = (-3)² - 4 * 1 * 2 = 9 - 8 = 1

x' = (-b + √Δ) / 2a = (-(-3) + √1) / (2 * 1) = (3 + 1) / 2 = 4 / 2 = 2
x'' = (-b - √Δ) / 2a = (-(-3) - √1) / (2 * 1) = (3 - 1) / 2 = 2 / 2 = 1

Portanto, x=1 ou x=2.

Answer 2

x^2 -3x= -2
x^2 -3x +2=0

Delta = b^2 -4.a.c
Delta = (-3)^2 -4. 1. 2
Delta = 9 - 8
Delta = 1

X = -b +- (raiz de delta) / 2.a
X = - (-3) +- (raiz de 1)/ 2.1
X = 3 +- 1 /2

x' = 3+1/2
x' = 4/2
x' = 2

x" = 3-1/2
x" = 2/2
x" = 1