How do you solve (x-5)^2=4?
3 Answers
Explanation:
Explanation:
- Method 1-
- Method 2-
- Method 3-
Graphical Approach
Plot
Explanation:
To 'undo' the square on the left side.
color(blue)"take the square root of both sides"
sqrt((x-5)^2)=+-sqrt4
rArrx-5=+-2larrcolor(red)" there are 2 solutions"
• x-5=+2
rArrx=2+5
rArrx=7to(color(red)(1))
• x-5=-2
rArrx=-2+5
rArrx=3to(color(red)(2))
color(blue)"As a check" Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x=7to(7-5)^2=4=" right side"
x=3to(3-5)^2=4=" right side"
rArrx=3" or "x=7" are the solutions"