Will offer 100 points to the first one that answers

2. use the equation x+1=√(7x+15) to answer these questions.
what is the solution to the equation?
what is the extraneous solution? why?


use the equation x-3=√(x-1)+4 to answer these questions.
what is the solution to the equation?
what is the extraneous solution? why?

Given

We have to set the restraint

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.

Similarly, we have

So, we have to impose

Squaring both sides, we have

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.

it would rotate about 180 degrees.