Answer: X= 5 ; -11
To solve our problem lets work backwards.
x^2-6x=55. First we must subtract 55 from both sides our equation. That leaves us with x^2-6x-55=0.
We next need to cancel out the number six. We also need to find two numbers that can be multiplied by one another to equal 55.
This would be 5 and -11. 5 and -11 can be added together to make -6, which is the negative integer for 6. They can also be multiplied together to make the negative integer of 55, which is -55.
This means that our X has two possible solutions.
Hence, X= 5 & -11
I hope this helps & Good Luck <3 !