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Zolol [24]
3 years ago
11

An ion is formed when an atom gains or loses

Chemistry
1 answer:
postnew [5]3 years ago
3 0
An ion is formed when an atom gains or loses electrons.
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2 years ago
Read 2 more answers
Which polynomials, given in square inches, could represent the area of a square with whole number side lengths if x is a whole n
erica [24]

<u>Answer:</u> The correct answers are x^2-9\text{ and }x^2-100

<u>Explanation:</u>

To find the polynomials which could represent the are of a square having side x greater than 2, we need to find the value of 'x' for all the given polynomials.

From the given options:

  • 1. x^2-9

x^2=9\\x=\sqrt{9}\\x=3,-3

x = -3 is ignored.

  • 2. x^2-100

x^2=100\\x=\sqrt{100}\\x=\pm10\\x=10,-10

x = -10 is ignored

  • 3. x^2-4x+4

To solve this we use the quadratic formula:

\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Putting values of a, b and c, we get:

x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(4)}}{2\times 1}\\x=2,2

As, x comes out to be 2 and is not greater than 2. Hence, this is not considered.

  • 4. x^2+10x+25

Solving for 'x' by splitting the middle term:

\Rightarrow x^2+5x+5x+25\\\Rightarrow x(x+5)+5(x+5)\\x=-5,-5

Hence, this is ignored.

  • 5. x^2+15x+36

Solving for 'x' by splitting the middle term:

\Rightarrow x^2+12x+3x+36\\\Rightarrow x(x+12)+3(x+12)\\x=-12,-3

Hence, this is ignored.

So, the correct polynomials are x^2-9\text{ and }x^2-100

3 0
3 years ago
Read 2 more answers
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