Question

Solve the following by using the quadratic formula?

Answer 1

x =-1 and `x = -(b + c)/(a + b)`

Explanation:

y = (a + b)x^2 + (a + 2b + c)x + (b + c) = 0
y is in the quadratic form:
y = Ax^2 + Bx + C = 0, with
A = a + b
- B = - a - 2b - c
C = b + c
Since A - B + C = 0, use shortcut:
The 2 real roots of y are: x = - 1 and `x = - C/A = -(b+ c)/(a + b)`