Respuesta :
Answer:
x=6,-6
Step-by-step explanation:
[tex]x^{2} -36=0\\
Square root [tex]x^{2}[/tex] and 36
(x+6)(x-6)=0\\
x=6,-6[/tex]\\
Assignment: [tex]\bold{Solve \ Equation: \ X^2-36=0}[/tex]
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Answer: [tex]\boxed{\bold{X=6,\:X=-6}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Add 36 To Both Sides
[tex]\bold{X^2-36+36=0+36}[/tex]
[ Step Two ] Simplify
[tex]\bold{X^2=36}[/tex]
[ Step Three ] [tex]\bold{\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}}[/tex]
[tex]\bold{X=\sqrt{36},\:X=-\sqrt{36}}[/tex]
[ Step Four ] Simplify Equations
[tex]\bold{\sqrt{36}: \ 6}[/tex]
[tex]\bold{-\sqrt{36}: \ -6}[/tex]
[ Step Five ] Combine Solutions
[tex]\bold{X=6,\:X=-6}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]