Question

$5x-3÷x=2x+9$

Answer 1

Explicação passo-a-passo:

$5x - \frac{3}{x} = 2x + 9 \\ 5x - \frac{3}{x} - 2x = 9 \\ 5x {}^{2} - 3 - 2x {}^{2} = 9x \\ 5x {}^{2} - 2x {}^{2} - 9x - 3 = 0 \\ 3x {}^{2} - 9x - 3 = 0 \\ x {}^{2} - 3x - 1 = 0$

∆=b²-4ac

∆=(-3)²-4.1.(-1)

∆=9+4

∆=13

x=-b+√∆/2

x=-b-√∆/2

x=-(-3)+√13/2

x1=3+√13/2

x=-(-3)-√13/2

x2=3-√13/2