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exis [7]
4 years ago
10

BRAINLIEST!!! ANSWER WITH EXPLANATION! ASAP

Mathematics
1 answer:
Katen [24]4 years ago
5 0

Answer: 20 is the answer

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<img src="https://tex.z-dn.net/?f=3%28x%2B2%292%2B4%28x%2B2%29%2B1%3D0%5C%5C" id="TexFormula1" title="3(x+2)2+4(x+2)+1=0\\" alt=
ycow [4]

Answer:

-3

-7/3

Step-by-step explanation:

Let u=x+2

We need to now solve 3u^2+4u+1=0 for u.

I'm going to try factoring. 3u (u)=3u^2 and 1(1)=1 so I'm going to try factored form (3u+1)(u+1).

Since 3u(1)+1(u)=4u, we are done.

Since (3u+1)(u+1)=0, then either 3u+1=0 or u+1=0.

Let's solve u+1=0 by subtracting 1 on both sides which obtains for us that u=-1.

Let's solve 3u+1=0 by subtracting 1 and then dividing both sides by 3 which obtains for us u=-1/3.

Since u=x+2, we are down to just solving the following:

x+2=-1 and x+2=-1/3

Both equations require us to subtract 2 on both sides.

The solutions are

x=-1-2=-3 and x=-1/3-2=-7/3

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