Question

Solve (x-4)^2=5 answer: (x=5+√4

Answer 1

Answer:

x = 4 + sqrt 5

x = 4 - sqrt 5

Step-by-step explanation:

(X-4)^2 = 5

X - 4 = + - sqrt 5

X = 4 + sqrt 5 and

X = 4 - sqrt 5

Answer 2

Answer:

Step-by-step explanation:

Take the square root of each side of the equation to set up the solution for x

$(x-4)^{2*\frac{1}{2} } =$ ±$\sqrt{5}$

Remove the perfect root factor x - 4 under the radical to solve for x.

x - 4 = ±$\sqrt{5}$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

$x-4=\sqrt{5}$

Add 4 to both sides of the equation.

$x=\sqrt{5} +4$

Next, use the negative value of the ± to find the second solution.

$x-4=-\sqrt{5}$

Add 4 to both sides of the equation.

$x=-\sqrt{5} +4$

The complete solution is the result of both the positive and negative portions of the solution.

$x=\sqrt{5} +4,-\sqrt{5} +4$