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Evgesh-ka [11]
3 years ago
5

If x−2=1/3, then what is the value of x^2-4x+4?

Mathematics
2 answers:
Serga [27]3 years ago
7 0

Answer:

\frac{1}{9}

Step-by-step explanation:

If

x - 2 =  \frac{1}{3}

then we may solve for x by adding 2 to both sides to get:

x =  \frac{1}{3}  + 2

x =  \frac{7}{3}

Now , factor perfect square trinomial to get:

{x}^{2}  - 4x + 4 =  {(x - 2)}^{2}

We substitute

x - 2 =  \frac{1}{3}

to get:

{x}^{2}  - 4x + 4 =  {( \frac{1}{3} )}^{2}  =  \frac{1}{9}

Therefore the required answer is

Elena L [17]3 years ago
5 0

Answer:

i believe the answer is 1/3

Step-by-step explanation:

i was gonna write something but im lazy im also too lazy to go back and change 1/3 to 1/9 because the real answer is 1/9

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