The equation A = x(x - 2) describes the area, A, of a rectangular flower garden, where x is the width in feet.
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What would be the width in feet of the flower garden if the area is 15 square feet?
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OpenStudy (danjs):
set up an equation
OpenStudy (danjs):
Area = Length x Width
OpenStudy (danjs):
x = width
so
x-2 = Length
OpenStudy (danjs):
Total area = 15
15 = x(x-2)
OpenStudy (danjs):
I would put that into a form of Ax^2 + Bx + C = 0 and try to factor it
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OpenStudy (danjs):
x^2 - 2x - 15 = 0
OpenStudy (danjs):
(x+3)(x-5) = 0
so
(x - 5) = 0
or
(x+3) = 0
OpenStudy (anonymous):
So what will be the answer out of these answers..
A.)3
B.)6
C:)5
D.)2
OpenStudy (danjs):
So if the Width is X, what is the answer
OpenStudy (danjs):
What are the solutions to
x - 5 = 0
or
x + 3 = 0
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OpenStudy (danjs):
x is a measure of width, a length, so it should be the positive of the two values
OpenStudy (anonymous):
Would it be 5?
OpenStudy (danjs):
yes
OpenStudy (danjs):
Try that in your original given equation of
Area = x(x-2)
For x = 5
and see if you get 15, as a check