Question

What are the solutions of the system? Use a graphing calculator.

y=x^2+4.6x+4.7
y=3.3x-3.7

A. (–3.47, 3.48) and (2.17, –15.17)
B. (–3.47, –15.17) and (–2.17, –10.88)
C. (–3.47, –15.17) and (2.17, 3.48)
D. no solution

Answer 1

Here's a picture of the graph.

Answer 2

Notice how the distance between the graphs gets wider as you go up, like around (3, 12), (3, 14) area.

Answer 3

For confirmation on whether or not the system has a solution, you can set the y's equal to each other:
x^2 + 4.6x + 4.7 = 3.3x - 3.7

x^2 + 1.3x + 8.4 = 0 and use the quadratic formula for the discriminant.

Answer 4

so no solution

Answer 5

That is correct! The graph shows it and the resulting quadratic discriminant is negative.