x^2+7x
Which constant should be added to make this expression a perfect square
12¼
To make the expression x^2 + 7x a perfect square, we need to add a specific constant.
To find this constant, we take half of the coefficient of x and square it.
The coefficient of x is 7, so half of that is (7/2). Squaring (7/2) gives us (49/4).
Therefore, the constant that should be added to make the expression a perfect square is 12¼, which is equivalent to 49/4.
To make the expression x^2 + 7x a perfect square, you need to add the square of half of the coefficient of the x-term.
In this case, the coefficient of the x-term is 7. Half of 7 is 7/2 or 3.5.
To get the perfect square, you need to add the square of 3.5.
The square of 3.5 is 12.25.
Therefore, you should add 12.25 to x^2 + 7x to make it a perfect square.