Answer:
Equation: [tex]3(x-6)^2=12[/tex]
Solutions: [tex]x=4\text{ or }x=8[/tex]
Step-by-step explanation:
Unknown variable [tex]= x[/tex]
Difference of x and 6 [tex]= x - 6[/tex]
Square of the difference of x and 6 [tex]=(x-6)^2[/tex]
Three times the square of the difference of x and 6 [tex]=3(x-6)^2[/tex]
Three times the square of the difference of x and 6 is 12, then
[tex]3(x-6)^2=12[/tex]
Divide this equation by 3:
[tex](x-6)^2 =4[/tex]
Now
[tex]x-6=2\text{ or }x-6=-2\\ \\x=2+6\text{ or }x=-2+6\\ \\x=8\text{ or }x=4[/tex]
