Question

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

Answer 1

Answer:

$\Large \boxed{ x=6 -\sqrt{5} \ \ \mathrm{or} \ \ x=6 + \sqrt{5}}$

Step-by-step 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.

$x-6 =\pm \sqrt{5}$

Adding 6 to both sides of the equation.

$x=6 \pm \sqrt{5}$

Answer 2

Answer:

x=6- sqrt(5)

x=6+ sqrt(5)

Step-by-step 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)