Question

Question 5 of 10Solve (x - 5)2 = 3.O A. x = 3 + 15O B. x = 5+ -13C. x = 8 and x = -2O D. X=-5+ 13

Answer 1

W have the next equation

$(x-5)^2\text{ = 3}$

Now we are going to solve doing first the square

$\begin{gathered} (x-5)^2\text{ = 3} \\ (x-5)^2\text{ - 3 = 0} \\ x^2\text{ - 10x +25 - 3 = 0} \\ x^2\text{ - 10x + 22 = 0} \\ \end{gathered}$

The answer for x is:

$x\text{ = }5\text{ - }\sqrt[]{3}$

and

$x\text{ = }5\text{ + }\sqrt[]{3}$