Question

(x - 6)^2 - 5 = 0 Enter the solutions from least to greatest.

Answer 1

`\Large \boxed{ x=6 -√(5) \ \ \mathrm{or} \ \ x=6 + √(5)}`

Explanation:

`(x - 6)^2 - 5 = 0`

Adding 5 to both sides of the equation.

`(x - 6)^2 =5`

Taking the square root of both sides of the equation.

`x-6 =\pm √(5)`

Adding 6 to both sides of the equation.

`x=6 \pm √(5)`

Answer 2

x=6- sqrt(5)

x=6+ sqrt(5)

Explanation:

(x - 6)^2 - 5 = 0

Add 5 to each side

(x - 6)^2 =5

Take the square root of each side

sqrt((x - 6)^2) =± sqrt(5)

x-6 = ± sqrt(5)

Add 6 to each side

x-6+6=6± sqrt(5)

x=6± sqrt(5)

from least to greatest

x=6- sqrt(5)

x=6+ sqrt(5)