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Debora [2.8K]
1 year ago
14

A portion of the quadratic formula proof is shown. Fill in the missing statement ( the last answer choice is (x + b/2a = + b^2-4

ac/a)

Mathematics
1 answer:
ahrayia [7]1 year ago
5 0

Answer:

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

Step-by-step explanation:

So when it says simplify the right side, all it's doing is distributing the square root across division.

So when we distribute the square root we get the fraction

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

And it's important to know that you cannot distribute the square root across addition/subtraction, but you can with multiplication.

There's a radical identity that states: \sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab} and this works both ways, so we can use this to combine like radicals or separate them into multiple. In this case we can separate the square root of 4a^2 into two radicals

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

And from here it's pretty easy to see that the square root of 4 is 2, and the square root of a^2 is a, since the square exponent and square root just cancel out.

So we get the following expression on the right side

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

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Step-by-step explanation:

3 0
2 years ago
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How to find the least common denominator of 3 fractions?
Lina20 [59]

Answer:

  Find the LCD of the first two, then the LCD of that and the third one.

Step-by-step explanation:

You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.

Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.

___

<u>Example:</u>

  1/21 + 1/35 + 1/45

The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...

  (105·45)/15 = 315

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Using factoring ...

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  • 35 = 5·7
  • 45 = 3²·5

LCD = 3²·5·7 = 315

3 0
3 years ago
A town's employment statistics show that 855 of its residents were unemployed last month. This is a decrease of 25% from the pre
Leona [35]
Decrease of 25% means only 855 people? Okay, so you want to backtrack. If you divide by 25% you’re going to get what it was for a 75% decrease. So divide by .75 instead. 855/.75 = 1140 unemployed residents last month
6 0
1 year ago
What is the total value of the digit 4 in the number: 34,712?<br> 40<br> 1,000<br> 400<br> 4,000
aev [14]

Answer: 4,000

Step-by-step explanation:

It is in the thousands place

4 0
2 years ago
I don't know what to do
RUDIKE [14]
Just do what is says to do i can answer it for u but im not sure if it will be correct
i have did this problem before tho

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3 years ago
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