Question
Does the point (–3, 0) satisfy the equation y = x^2 + 3x?
Answers
GPT-4o mini
To determine if the point \((-3, 0)\) satisfies the equation \(y = x^2 + 3x\), we will substitute \(x = -3\) into the equation and see if we get \(y = 0\).
Substituting \(x = -3\):
\[
y = (-3)^2 + 3(-3)
\]
Calculating the terms:
\[
y = 9 - 9
\]
\[
y = 0
\]
Since substituting \(-3\) for \(x\) gives us \(y = 0\), the point \((-3, 0)\) satisfies the equation \(y = x^2 + 3x\).
Thus, the answer is **Yes**; the point \((-3, 0)\) satisfies the equation.
Substituting \(x = -3\):
\[
y = (-3)^2 + 3(-3)
\]
Calculating the terms:
\[
y = 9 - 9
\]
\[
y = 0
\]
Since substituting \(-3\) for \(x\) gives us \(y = 0\), the point \((-3, 0)\) satisfies the equation \(y = x^2 + 3x\).
Thus, the answer is **Yes**; the point \((-3, 0)\) satisfies the equation.