Question

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

Answer 1

Add 5 to both sides of the equation.

`\boldsymbol{\sf{(x-6)^(2)-5=0 }}`

Take the square root of both sides to eliminate the exponent on the left side.

`\boldsymbol{\sf{x-6=\pm√(5) }}`

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.

`\boldsymbol{\sf{x-6=√(5) }}`

Add 6 to both sides of the equation.

`\boldsymbol{ \sf{x=√(5)+6 }}`

Then use the negative value of ± to find the second solution.

`\boldsymbol{\sf{x-6=-√(5) }}`

Add 6 to both sides of the equation.

`\boldsymbol{\sf{x=-√(5)+6 }}`

The complete solution is the result of the positive or negative portions of the solution.

`\boldsymbol{\sf{x=√(5)+6,-√(5)+6 }}`

`\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm√(5)+6 }}}}`

Skandar