Problem

If $(a,-20)$ is a point on the graph of $y=x^{2}+9 x$, what is $a$ ?

Solution

Step 1 :Given that the point $(a,-20)$ lies on the graph of the equation $y=x^{2}+9 x$, we can substitute these values into the equation to solve for $a$.

Step 2 :Substituting $x=a$ and $y=-20$ into the equation, we get $a^{2}+9a=-20$.

Step 3 :Solving this equation, we find that the solutions are $a=-5$ and $a=-4$.

Step 4 :These are the two possible values of $a$ for which the point $(a,-20)$ lies on the graph of $y=x^{2}+9 x$.

Step 5 :Final Answer: \(\boxed{-5, -4}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16394/

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