The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?

Which of the following equations is used in the process of solving this problem?

x 2 - 7x + 70 = 0
x 2 - 7x + 10 = 0

Question

The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?

Which of the following equations is used in the process of solving this problem?

x 2 - 7x + 70 = 0
x 2 - 7x + 10 = 0

mjdennis · Answer

Since we don't know the "mystery number", call it 'x'.
Now tackle the word problem one phrase at a time.
How do we write "the square of 'a number' " in the language of algebra?