Question

3ו(×-2)=2•(×+3/2 sobre) alguem ?

Answer 1

3x • (x-2) = 2 • (x+3/2)
3x²- 6x = 2x + 6/2
3x²- 6x - 2x + 6/2 = 0
3x² - 8x + 3 = 0

a = 3
b = -8
c = 3

Δ = b² - 4 • a • c
Δ = (-8)² - 4 • a • c
Δ = 64 + 36
Δ = 100

${x}^{i} = \frac{ - 8 + \sqrt{100} }{2 \times 3}$

$\frac{8 + 10 }{6} = \frac{18}{6} = 3$

$x ^{ii} = \frac{ - 8 - 10}{6} = \frac{ - 2}{6} \div 2 = - \frac{1}{3}$

S = 3 ou - 1/3