enter the correct answer in the box. what are the solutions to the equation (x - 21)^2 = 25? x = x =

enter the correct answer in the box. what are the solutions to the equation (x - 21)^2 = 25? x = x =

enter the correct answer in the box. what are the solutions to the equation (x - 21)^2 = 25? x = x =

Answer

Explanation:

Step1: Take square - root of both sides

$x - 21=\pm\sqrt{25}$ Since $\sqrt{25} = 5$, we have $x - 21=\pm5$.

Step2: Solve for $x$ when $x - 21 = 5$

Add 21 to both sides: $x=5 + 21$. So $x = 26$.

Step3: Solve for $x$ when $x - 21=-5$

Add 21 to both sides: $x=-5 + 21$. So $x = 16$.

Answer:

$x = 26$ $x = 16$