Question

If using the method of completing the square to solve the quadratic equation
x2 + 14x + 34 = 0, which number would have to be added to "complete the
square"?

Answer 1

Step-by-step explanation:

In order to complete the square, you first see the coefficient of x. Given that:

${(x + a)}^{2} = {x}^{2} + 2ax + {a}^{2}$

2a = 14 or a = 7

All that's left to do is to simultaneously add and subtract a^2 = 49, to complete the square.

${x}^{2} + 14x + 34 = 0 \\ {x}^{2} + 14x + 49 - 49 + 34 = 0 \\ ( {x}^{2} + 14x + 49) = 49 - 34 \\ {(x + 7)}^{2} = 15$

Answer 2

The "b" term is 14 hence 7 must be added to both sides of the equation to "complete the square".

What is completing the square?

The completing the square method is one of the methods of solving quadratic equations. In this method, half of the "b" term is added to both sides of the equation.

In this case, the "b" term is 14 hence half of the  "b" term is 7.Hence, 7 must be added to both sides of the equation to "complete the square".

Learn more about completing the square: https://brainly.com/question/4822356