CPM Homework Help : PC Problem 5-38

Solve and check: $\sqrt { c + 1 } = 5 - c$

Downward parabola labeled, f of x, vertex at the point (1, comma 4), passing through the points (negative 1, comma 0), & (3, comma 0).

Continuous curve labeled, g of x, starting in lower left, turning at the point (negative 3, comma 3), at the point (1.5, comma negative 5), continuing up & right, with intercepts at (negative 4, comma 0), (0, comma negative 3), & (3, comma 0).

Continuous curve labeled, h of x, starting in upper left, turning at the point (negative 2, comma negative 5.5), at the point (2.5, comma 2), continuing down & right, with intercepts at (negative 4, comma 0), (0, comma negative 2.5), (1, comma 0) & (4, comma 0).

Hint:

1. Square both sides (put parentheses on the right side of the equation). Be sure you have a middle term on the right!
2. Then move all terms to one side setting the function $=$ to $0$ .
3. Factor. Solve. Check your answer(s)!