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

2 Answers

4 votes

Answer:


\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)

User Yousef Zakher
by
8.5k points
3 votes

Answer:

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)

User Josh Hibschman
by
8.2k points

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