Solve These Three Questions

Question

1a. Solve the rational equation below using algebra. Enter your solution(s). (6 points)

1b. Solve the same rational equation using a calculator. Graph the left side of the equation as y1 and the right sides as y2. Enter your solution(s). (7 points)

1c. Explain how you used the graph to find the solutions using complete sentences. (7 points)

Answer 1

(2x+2)(x+4) - 4(x-1)(x+4) = 6x(x-1)

(-2x+6)(x+4) = 6x^2 -6x

-2x^2 -2x +24 = 6x^2 -6x

8x^2 -4x -24 = 0

2x^2 -x -6 = 0

(2x+3)(x-2) = 0

x = -3/2, 2