Step-by-step explanation:
The problem asks to find the values "b" and "c" in a way that
the solutions of the equation |x - b| = c are x= 1/2 and x= -1/3.
It means that "b" is the center of the segment [-
].
This segment has the length 
Hence, the half of this length is 
.
Therefore, the center of the segment is 
Thus the value of "b" is found: it is b = 
.
Then the value of "c" is c =
.
For quadratics, these formulas are used mainly for factoring.
Your equation can be written as ...
... 2(x² +2x -3) = 0
You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...
... 2(x -1)(x +3) = 0
The roots are then 1 and -3, which sum to -b = -2.
(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)
0,4 would be your new coordinates.
Answer:
-3
Step-by-step explanation:
The base value is the current value
Good luck! I hope this helps!
