Question

What is the intermediate step in the form (x+a)2 =b as a result of completing the square for the following equation?x2-27x+31=-13x-14

Answer 1

Answer: This is the completed square form, where a = -7 and b = 4.

Step-by-step explanation:x^2 - 14x + 45 = 0

To complete the square, add and subtract (14/2)^2 = 49 from the left-hand side:x^2 - 14x + 49 - 49 + 45 = 0

Factor the first three terms and simplify:(x - 7)^2 - 4 = 0

This is the completed square form, where a = -7 and b = 4.