we have

Complete the square. Remember to balance the equation by adding the same constants to each side



Rewrite as perfect squares

remember that

Square root both sides





Simplify



therefore
<u>the answer is</u>


either
-(3x+3)-2x (less than) -4(x-2)-2
-3x+3-2x (less than) -4x +8-2
-5x+3 (less than)-4x+6
Or if you need it simplified
-5x +3 (less than) -4x+6
+4x 4x
-x+3 (less than) 6
-3 -3
-x(less than) 3
(-x/-1) Less than (3/-1)
x (less than) -3
(didnt have the less than greater than sign so typed it)
Answer:
<h2>
first piece: 5 in</h2><h2>
second piece: 10 in</h2><h2>
third piece: 32 in </h2>
Step-by-step explanation:
x - the length of the <u>first piec</u>e
2x - twice the length of the first piece (the length of the <u>second piece</u>)
6x - six times the length of the first piece
two inches more:
6x+2 - the length of the <u>third piec</u>e
first + second + third = 47 in {total length of the pieces of steel}
x + 2x + 6x + 2 = 47
9x + 2 = 47
9x = 45
x = 45:9
x = 5 in
first piece: 5 in
second piece: 2×5 = 10 in
third piece: 6×5 + 2 = 30 + 2 = 32 in