What must be added to x^2 + 10x +23 to make it a perfect square?
well, (x+5)^2 = x^1+10x+25, so ...
I can't understood this problem
To determine what must be added to make the quadratic expression x^2 + 10x + 23 a perfect square, we can complete the square by following these steps:
Step 1: Identify the coefficient of the x term, which is 10.
Step 2: Divide this coefficient by 2, then square the result. (10/2)^2 = 25.
Step 3: Add this value to the expression: x^2 + 10x + 23 + 25 = x^2 + 10x + 48.
Therefore, to make the quadratic expression x^2 + 10x + 23 a perfect square, we need to add 25.