7
QuizMultiple Choice

Solving One-Variable Equations with Systems — Quiz

Question 7 • Mathematics III

What are the two solutions of 2 x squared is equal to negative x squared minus 5 x minus 1 ?

Answer
A
the y -coordinates of the intersection points of the graphs of y is equal to 2 x squared and y is equal to negative x squared minus 5 x minus 1
B
the y -coordinates of the y -intercepts of the graphs of y is equal to 2 x squared and y is equal to negative x squared minus 5 x minus 1
C
the x -coordinates of the intersection points of the graphs of y is equal to 2 x squared and y is equal to negative x squared minus 5 x minus 1
D
the x -coordinates of the x -intercepts of the graphs of y is equal to 2 x squared and y is equal to negative x squared minus 5 x minus 1

Explanation

The solutions are the values of x that make the two expressions equal. On the graphs y = 2x² and y = −x² − 5x − 1, that happens where the graphs intersect, and the corresponding solution values are the x-coordinates of those points. Therefore, the correct choice is the x-coordinates of the intersection points.

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