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Irina-Kira [14]
3 years ago
11

Solve the equation by completing the square. 0=4x^2-72x

Mathematics
2 answers:
Butoxors [25]3 years ago
6 0

Answer:

Step-by-step explanation:

First we need to make sure that the leading coefficient is a 1.  Ours is a 4, so we need to factor it out, leaving us with

4(x^2-18x)=0

To complete the square, take half the linear term, square it, then add it to both sides.  But don't forget about that 4 hanging around out front, refusing to be ignored.  Our linear term is 18.  Half of 18 is 9, and 9 squared is 81.  Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:

4(x^2-18x+81)=324

To solve this, we need to get the x terms all by themselves.  So let's divide both sides by 4 to get

x^2-18x+81=81

The process of completing the square created a perfect square binomial on the left.  We will state this binomial now:

(x-9)^2=81

We isolate the x term by taking the square root of both sides:

x - 9 = ±9

From that we have 2 equations:

x - 9 = 9 and x - 9 = -9

Which means that x = 18 or x = 0

Gnom [1K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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Answer:

-6 +2 = -4

Step-by-step explanation:

Its simple. Whenever you see two negative signs next to each other, they merge into an addition sign "positive".

-6+2 = -4

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What are the vertex and x-intercepts of the graph of the function given below?
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In order to determine the vertex of this, you can complete the square.  To do that, first set the equation equal to 0, then move the -35 over to the other side by adding.  That gives us x^{2} -2x=35.  Now we can complete the square.  Do this by taking half of the linear term, squaring it, and adding it in to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  So we add 1 to both sides, creating something that looks like this: x^{2} -2x+1=35+1.  We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process.  (x-1)^2=36.  Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent.  It is (1, -36).  You find the x-intercepts when y = 0.  That means you need to set your original equation equal to zero and factor it.  The easiest, surest way to do this is to use the quadratic formula.  Doing that gives us x values of 7 and -5.  And you're done!
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Grocery Mart has cookies on sale for $3 for 12 cookies. Food Shoppe has cookies on sale for $5.70 for 19 cookies. Which store ha
AnnZ [28]

Answer:

5.70 for 19

Step-by-step explanation:

4 0
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Solve for x.
Oksanka [162]

Answer:

x = -4037/127

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

14x + 18 + x = -112(x + 36) + 13

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -112:                         14x + 18 + x = -112x - 4032 + 13
  2. Combine like terms:                15x + 18 = -112x - 4019
  3. Add 112x on both sides;          127x + 18 = -4019
  4. Isolate <em>x</em> term:                          127x = -4037
  5. Isolate <em>x</em>:                                   x = -4037/127
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Answer:

The Transitive Property for x and y

Step-by-step explanation:

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