Question 1074239: please help me write an absolute value equation that has 9 and 21 as its solution Found 2 solutions by Edwin McCravy, ikleyn:Answer by Edwin McCravy(20060) (Show Source):
Suppose the equation is
where B is non-negative.
Then we solve it as we would if we knew
the values of A and B:
x+A = B; x+A = -B
x = B-A; x = -B-A
So the solutions are B-A and -B-A
If we choose B-A to be the 21 and -B-A to be the 9,
we have this system of equations
Solve that and get B = 6 and A = -15
So the equation
becomes:
Edwin
