What number must be added to x^2+6x+7 to form a perfect square
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the equation:
x^2 + 6x + 7
Determine what must be added to the number in order to form a perfect square.
Solution:
In order to make the equation a perfect square, we must simply add 2 on both sides of the equation.
x^2 + 6x + 7
x^2 + 6x + 7 + 2 = + 2
x^2 + 6x + 9 = + 2
Now we can factor the equation on the left side whereas we leave the equation at the right side as it is.
( x + 3 )^2 = 2
Final answer:
( x + 3 )^2 = 2