Since width is the smaller value, set width=x. That wold mean that length=x+3. Since Area=width*length, 40=x(3+x). Distribute the x to give you 40=3x+x^2. Set the equation equal to 0 giving you x^2+3x-40=0. Factor the equation to give you (x+8)(x-5)=0. Set each factor equal to 0. x+8=0 gives you x=-8 & x=-5 gives you x=5. Since we're working with lengths of objects, it can't be negative. Therefore, your width is 5. To find length, substitute width into the original expression (x+3). Therefore, length is 5+3=8.
Answer:
D. (x – 3)^2 = 17
Step-by-step explanation:
We assume you want an equivalent to x^2 -6x = 8.
We can complete the square by adding the square of half the x-coefficient to both sides of the equation.
x^2 -6x +(-6/2)^2 = 8 +(-6/2)^2
(x -3)^2 = 17 . . . . simplify
3/4 + 5/16
=12/16 +5/16
=17/16
=1 1/16
Answer:
15.5
Step-by-step explanation:
