+0  
 
0
1
2
avatar+683 

Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.

 Jun 16, 2024
 #1
avatar+814 
-1

The solutions are 5 and 6.

 Jun 16, 2024
 #2
avatar+1075 
+1

First, let's move all terms to one side and combine all like terms. 

We get

\(x^{2}+10x+9=0\)

 

We can put this into factored form to find x. We get

\((x+9)(x+1)=0\)

 

From this, we know that 

\(x=-1\\ x=-9\)

 

So our final answer is -1 and -9. 

 

Thanks! :)

 Jun 16, 2024

3 Online Users

avatar