Respuesta:
x₁ = 0 x₂ = 1/6
Explicación paso a paso:
[tex]\frac{x}{2} + 2x^{2} = -x(x-1)[/tex]
[tex]\frac{x}{2} +2x^{2} = -x^{2} +x[/tex]
x+ 4x² = -2x² + 2x
4x²+2x²+ x -2x = 0
6x²- x = 0
x(6x-1) = 0
x =0 ∧ 6x - 1 = 0
x₁ = 0 6x = 1
x₂ = 1/6
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Respuesta:
x₁ = 0 x₂ = 1/6
Explicación paso a paso:
[tex]\frac{x}{2} + 2x^{2} = -x(x-1)[/tex]
[tex]\frac{x}{2} +2x^{2} = -x^{2} +x[/tex]
x+ 4x² = -2x² + 2x
4x²+2x²+ x -2x = 0
6x²- x = 0
x(6x-1) = 0
x =0 ∧ 6x - 1 = 0
x₁ = 0 6x = 1
x₂ = 1/6