If using the method of completing the square to solve the quadratic equation x^2+14x+34=0 , which number would have to be added to "complete the square"? Answer Attemptiout of 2

## Step 1<br />The method of completing the square is a technique used to solve quadratic equations. The general form of a quadratic equation is \( ax^2 + bx + c = 0 \). The method involves rearranging the equation into a perfect square trinomial on one side of the equation.<br /><br />## Step 2<br />In the given equation \( x^2 + 14x + 34 = 0 \), we need to find the number that completes the square. This is done by taking half of the coefficient of the x term (which is 14), squaring it, and then adding it to the equation.<br /><br />### **The formula to find the number that completes the square is \( \left(\frac{b}{2}\right)^2 \)**<br /><br />## Step 3<br />Substitute the coefficient of x (which is 14) into the formula.<br /><br />### **So, \( \left(\frac{14}{2}\right)^2 = 49 \)**