The solutions to the equation are 19 and 31
The equation is given as:
[tex](x -25)^2=36[/tex]
Take the square roots of both sides of the equation
[tex]x -25=\pm 6[/tex]
Add 25 to both sides of the equation
[tex]x =25\pm 6[/tex]
Split the above equation, as follows
[tex]x =25- 6, 25 + 6[/tex]
Evaluate both expressions
[tex]x =19,31[/tex]
Hence, the solutions to the equation are 19 ad 31
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