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Sagot :
Add 5 to both sides of the equation.
[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]
Take the square root of both sides to eliminate the exponent on the left side.
[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.
First, use the positive value of ± to find the first solution.
[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.
[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]
Then use the negative value of ± to find the second solution.
[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.
[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.
[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]
[tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]
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