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These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain
6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side
x² + 2x

x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
x + 1 = + 3 or x + 1 = - 3 x = 2 or x = - 47. x² - 6x = 16
→ We do the same thing we did in the previous question
x² - 6x +
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
x - 3 = + 5 or x - 3 = - 5 x = 8 or x = - 28. x² - 18x = 19
x² - 18x +

x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100

x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1
9. x² + 3x = 3
x² + 3x +





x +
= +
or x +
x =
or x =
Answer:
Step-by-step explanation:
yep
Answer:
700 feet
Step-by-step explanation:
you just add the two 50 wich makes that 100 then add 100 to 600
Expression:
2 * x = 15
Hope that helped!
Answer:

Step-by-step explanation:
GIVEN: A farmer has
of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be
and
perimeter of rectangular pen 


area of rectangular pen 

putting value of 


to maximize 



but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen 
width of rectangular pen 
Maximum area of rectangular pen 
Hence maximum area of rectangular pen is
and dimensions are 