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yKpoI14uk [10]
3 years ago
5

Solve the quadratic equation by completing the square. x^2 - 10x + 18 = 0

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0
Okay so basically, you subtract 18 on both sides since the 18 doesn't work, making the equation 
<span>x</span>²<span> - 10x = -18
So then you add (b/2)</span>²<span>, which is 25, to both sides, to get 
</span><span>x</span>²<span> - 10x + 25 = 7
</span><span>After this, you factor.
</span><span>(x-5)(x-5) = 7
</span><span>Then you simplify.
(x-5)</span>²<span> = 7
Then you solve for x.
</span>√(<span>x-5)</span>²<span> = </span>√7
x-5 = (+ or -)√7

~ x= 5 (+ or -)√7 ~

Hope this helps!

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What is the value of the expression below when w = 3. 4w^2 - 7w - 8
Makovka662 [10]
<h2>Answer:<em> </em><em><u>w =(-40-√4320)/-34=(20+6√ 30 )/17= 3.110 </u></em></h2><h2><em><u> w =(-40+√4320)/-34=(20-6√ 30 )/17= -0.757</u></em></h2>

Step-by-step explanation:  The prime factorization of  4320   is

  2•2•2•2•2•3•3•3•5  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 4320   =  √ 2•2•2•2•2•3•3•3•5   =2•2•3•√ 30   =

               ±  12 • √ 30

 √ 30   , rounded to 4 decimal digits, is   5.4772

So now we are looking at:

          w  =  ( -40 ± 12 •  5.477 ) / -34

Two real solutions:

w =(-40+√4320)/-34=(20-6√ 30 )/17= -0.757

or:

w =(-40-√4320)/-34=(20+6√ 30 )/17= 3.110

MY HEAD HURTS!

3 0
3 years ago
Which decimal is equivalent to 8.100
larisa86 [58]

Answer:

81/10

Step-by-step explanation:

i just figured it out i really don't have one but i hope it helps

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3 years ago
Solve each given equation and show your work. Tell whether each question has one solution, an infinite number of solutions, or n
laiz [17]
2x + 4(x - 1) = 2 + 4x
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25 - x = 15 - (3x + 10)
25 - x = 15 - 3x - 10
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x = -20/2
x = -10.....there is 1 solution

4x = 2x + 2x + 5(x - x)
4x = 4x + 5x - 5x
4x = 4x......this has infinite solutions

learn this...
if ur equation ends in a variable equaling a number, then there is one solution.
if ur equation ends in something not equal, like 2 = 4, or 4 = 6, then there is 0 solutions.
if ur equation ends in something equal to something,(the same) like 2 = 2, or 4x = 4x, then there is infinite solutions

3 0
3 years ago
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