1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.

___

2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.

Here, that looks like ...

4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4

4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation

4(x +5)² = 180 . . . . . . . . . . . written as a square

8 0

3 years ago

Select all of the correct solutions for the following equation

zhuklara [117]

Answer: a,b, and c are the correct solutions

Step-by-step explanation:

You are substituting each (x,y) for the equation given. They must equal the same on both sides.

5 0

3 years ago