Respuesta:
[tex]x=3+\sqrt{3},\:x=3-\sqrt{3}[/tex]
Explicación paso a paso:
[tex]4=x^2-6x+10[/tex]
[tex]x^2-6x+10=4[/tex]
[tex]x^2-6x+10-4=4-4[/tex]
[tex]x^2-6x+6=0[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:6}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:2\sqrt{3}}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-\left(-6\right)+2\sqrt{3}}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-2\sqrt{3}}{2\cdot \:1}[/tex]
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Respuesta:
[tex]x=3+\sqrt{3},\:x=3-\sqrt{3}[/tex]
Explicación paso a paso:
[tex]4=x^2-6x+10[/tex]
[tex]x^2-6x+10=4[/tex]
[tex]x^2-6x+10-4=4-4[/tex]
[tex]x^2-6x+6=0[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:6}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:2\sqrt{3}}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-\left(-6\right)+2\sqrt{3}}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-2\sqrt{3}}{2\cdot \:1}[/tex]
[tex]x=3+\sqrt{3},\:x=3-\sqrt{3}[/tex]