Answer:
x = -4, 10
Step-by-step explanation:
We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:
[tex](x-3)^2=49[/tex]
[tex]\sqrt{(x-3)^2} =\sqrt{49}[/tex]
[tex]x-3=+-7[/tex]
[tex]x=3+7=10[/tex]
[tex]x=3-7=-4[/tex]
Hence the two values of x are -4 and 10
Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of [tex]\sqrt{49}[/tex]
