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solmaris [256]
4 years ago
11

Angelica colored in 0.60 of the squares on her grid. What is the expression 0.60 as tenth in fraction

Mathematics
1 answer:
xz_007 [3.2K]4 years ago
8 0
If I understand the question correctly, 6/10.
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What is the mean absolute deviation of the data set?<br><br> {5, 7, 12, 11, 3, 10}
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Part E<br>Solve the equation x^2- 4x + 6 = 0 by completing the square.​
dalvyx [7]

Answer:

Roots for the given polynomial p(x) is  x = (2 + √2i) or  x = (2 - √2i)

Step-by-step explanation:

Here, the given polynomial isP(x) = x^{2}  - 4x + 6 = 0

Now, in <u>COMPLETING THE SQUARE</u> there are various steps.

Step (1): HALF THE COEFFICIENT OF x

Here, the coefficient of x  =  (4) so , the half of 4 =  4/ 2  = 2

Step(2) :Square it ADD IT ON BOTH SIDES OF EQUATION

The square of 2 is (2)^2.

Adding it on both sides of the polynomial, we get

P(x) :  x^{2}  - 4x + 6  + (2)^2 = 0   + (2)^2

Step (3): Use the ALGEBRAIC IDENTITY and make a complete square.

Now, using the identity (a\pm b)^2 = a^2 + b^2 \pm 2ab

\implies x^{2}  - 4x + 6  + (2)^2 = 0   + (2)^2\\=  (x^{2}  - 4x + (2)^2 )+ 6   = 0   + (2)^2\\= (x-2)^2   +  6  -  (2)^2 =  0\\\implies  (x-2)^2  + 2 = 0

or, (x-2)^2  =  -2

Rooting both sides, we get

\pm (x-2)  = (\sqrt2i)

Solving this, further,we get

x = 2 + √2i , or x  =  x = 2 - √2i

Hence, roots for the given polynomial p(x) is  x = 2 + √2i or  x = 2 - √2i  

5 0
3 years ago
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