Question

Is (-1, 29) a solution of y = -2x² - 5x + 22? Explain. Show your work.

Answer 1

To determine whether (-1, 29) is a solution of the given equation, all we have to do is replace the "x" values in the equation with -1, and see if the result is 29. If the result is 29, then (-1, 29) is a solution.

`y=-2x^2-5x+22`

Substitute "x" with -1.

`\begin{gathered} y=-2(-1)^2-5(-1)+22 \\ y=-2+5+22 \\ y=25 \end{gathered}`

Since y = 25 and not 29, (-1, 29) is not a solution to the equation y = -2x² - 5x + 22.