Hi! I'm having trouble with this math problem... Tara bought 11 plants to arrange along the border of her garden. How many distinct arrangements can she make if the plants are comprised of 2 sunflowers, 4 orchids, and 5 daisies?

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Ответ:

kamiyaharris1

25.09.2020

Mathematics

"x = 4.38, −0.38"

Step-by-step explanation:

The equation to solve is a quadratic:

$-3(x-2)^{2}+17=0$

We take -17 to the other side and divide by -3 and solve by taking square root and be sure to take + and - solutions:

$-3(x-2)^{2}+17=0\\-3(x-2)^{2}=-17\\(x-2)^{2}=5.67\\x-2=+-\sqrt{5.67} \\x-2=+-2.38\\x=2.38+2=4.38\\x=-2.38+2=-0.38$

Hence, the solutions are x = 4.38 and -0.38

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