Question

resolva as equações u=r
$(x - 2)(x + 3) = - x {}^{2}$
$x(1 - x) = \frac{1}{4}$

Answer 1

a)

(x - 2)*(x + 3) = -x²

x² + x - 6 = -x²
2x² + x - 6 = 0 

d² = 1 + 48 = 49
d = 7

x1 = (-1 + 7)/4 = 3/2
x2 = (-1 - 7)/4 = -2 

b)

x*(1 - x) = 1/4 

-x² + x = 1/4 
x² - x = -1/4
x² - x + 1/4 = -1/4 + 1/4
x² - x + 1/4 = 0 
(x - 1/2)² = 0

x = 1/2