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QuizMultiple Choice

Solving One-Variable Equations with Systems — Quiz

Question 2 • Mathematics III

Which system of equations can be graphed to find the solution(s) to x squared is equal to 2 x plus 3 ?

Answer
A
y is equal to x squared plus 2 x plus 3 y is equal to 2 x plus 3
B
y is equal to x squared minus 3 y is equal to 2 x plus 3
C
y is equal to x squared minus 2 x minus 3 y is equal to 2 x plus 3
D
y is equal to x squared y is equal to 2 x plus 3

Explanation

To find the solutions of x² = 2x + 3 by graphing, graph each side as its own y-expression: y = x² and y = 2x + 3. Their intersection points have equal y-values, so their x-coordinates satisfy the original equation. Choice C gives this system.

AI-written and checked against the verified answer.

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