someone help pls, medal and fan!

Without solving, how many solutions does the following equation have? Justify your answer in your written work.
\begin{cases} y = -2x-17 \ y = x^{2}+10x+22 \end{cases}

Question

someone help pls, medal and fan!

Without solving, how many solutions does the following equation have? Justify your answer in your written work.
\begin{cases} y = -2x-17 \ y = x^{2}+10x+22 \end{cases}

anonymous · Answer

there will be two solutions.

If you let y=y

-2x-17= x^2 +10x +22

then 0= x^2 + 12x +5

this is a quadratic equation.  Quadratic equations generate 2 solutions.

anonymous · Answer

wait so that's the final answer?

anonymous · Answer

Answer: 2 solutions.

What I wrote was the written work they asked for.

anonymous · Answer

thanksss! :D

anonymous · Answer

You're welcome :)