Question

Equação de segundo grau ajuda PFV X + 5 + 4/x = 0 30 PONTOS !!!

Answer 1

resolva as equações X+5+4/X=0

x+5+4/x=0

x²+5x+4=0

∆=b²-4.a .c

∆=(5)2-4.(1).(4)

∆=25-16

∆=9

x'=-5+√9/2=-5+3/2=-2/2= -1

x"=-5-√9/2=-5-3/2=-8/2= -4

S={-1,-4}

ok !

Answer 2

Oie, Td Bom?!

$x + 5 + \frac{4}{x} = 0$

$\frac{x}{1} + \frac{5}{1} + \frac{4}{x} = 0$

$\frac{x \: . \: x}{x \: . \: 1} + \frac{x \: . \: 5}{x \: . \: 1} + \frac{4}{x} = 0$

$\frac{x {}^{2} }{x} + \frac{5x}{x} + \frac{4}{x} = 0$

$\frac{x {}^{2} + 5x + 4 }{x} = 0$

$x {}^{2} + 5x + 4 = 0$

$x {}^{2} + 4x + x + 4 = 0$

$x \: . \: (x + 4) + x + 4 = 0$

$(x + 4) \: . \: (x + 1) = 0$

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$x + 4 = 0⇒x = - 4$

$x + 1 = 0⇒x = - 1$

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$S= \left \{x_{1} = - 4 \: , \: x_{2} = - 1 \right \}$

Att. Makaveli1996