A rectangle has vertices at (-2, 1), (3, 1). (3,-2), and (-2,-2).
2 answers:
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Income of the first account after x years:
Income of the second account after x years:
Equating the above tw values we get the equation:
Solving the above equation for x:
Answer 8 years.
Income of the second account after x years:
Equating the above tw values we get the equation:
Solving the above equation for x:
Answer 8 years.
Completing the square follows the principle of taking 
and converting it into 
where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us 
.
In this case, 2/2=1 so we have the first part:
.
Expanding this gives us
. We need c to be 9, so we can just add 8.
Putting this together:
Now we can solve it more easily.
Rearranging:
In this case, 2/2=1 so we have the first part:
Expanding this gives us
Putting this together:
Now we can solve it more easily.
Rearranging: