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5 ~ Challenge: Iris is considering adding a vegetable
garden in her yard. She has a square space with an
area of 25x2 + 40x + 16. Find an expression to
represent the side lengths of the possible vegetable
garden. Sketch her vegetable garden.
e new
ual
ermine
-ssion
How?


Sagot :

Answer:

(5x+4)x(5x+4)

Step-by-step explanation:

Factor using quadratic formula (or AC method if you prefer)

formula: [-b ±[tex]\sqrt{b^{2} -4ac}[/tex]]/2a

Plug in

[-40 ± [tex]\sqrt{1600-1600}[/tex]]/2(25)

-40/50

x=-4/5

But since we need to find the factored form we put everything on one side.

5x+4=0

Since there is no ±, that means that there is perfect square. Both sides would be 5x+4