Respuesta:
x₁ = -6.33
x₂ = -13.67
Explicación paso a paso:
b²+10b+11 = 0
a = 1 b = 10 c = 11
[tex]x = -b +\frac{\sqrt{b^{2} -4ac} }{2a} = -10 +\frac{\sqrt{10^{2} -4(1)(11)c} }{2(1)} = -10 +\frac{\sqrt{100 -44} }{2} = -10 +\frac{\sqrt{54} }{2} \\x = -10 +\frac{7.35}{2}[/tex]
x = -10±3.67
x₁ = -10+3.67 = -6.33
x₂ = -10-3.67 = -13.67
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Respuesta:
x₁ = -6.33
x₂ = -13.67
Explicación paso a paso:
b²+10b+11 = 0
a = 1 b = 10 c = 11
[tex]x = -b +\frac{\sqrt{b^{2} -4ac} }{2a} = -10 +\frac{\sqrt{10^{2} -4(1)(11)c} }{2(1)} = -10 +\frac{\sqrt{100 -44} }{2} = -10 +\frac{\sqrt{54} }{2} \\x = -10 +\frac{7.35}{2}[/tex]
x = -10±3.67
x₁ = -10+3.67 = -6.33
x₂ = -10-3.67 = -13.67