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Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x - 6)^2 - 5 = 0

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]

Skandar