Question

Resolver as seguintes equações de 2° Grau;
a) 3x + 2/ 2x2 + x - 4/3x = 1/2

b) 1/ x-2 + 1/x -1 = 3/2

c) 2/3x + 2/x-1 + 5/3 = 0

d) x/ x-1 + 2/ x2 -1 = 0

Answer 1

b) ( 2x+ 5)² + 3x = 25
4x² + 20x + 25 + 3x - 25 = 0
4x² + 23x = 0
x.(4x + 23) = 0
x = 0
4x + 23 = 0
4x = -23
x = -23/4

c) 4x² - 12x = 0
x.(4x - 12) = 0
x = 0
4x - 12 = 0
4x = 12
x = 12/4
x = 3

d) 3(x² - 1) = 24
3x² - 3 - 24 = 0
3x² - 27 = 0
3x² = 27
x² = 27/3
x² = 9
x = ± √9
x = ± 3