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Contact [7]
1 year ago
10

Solve 5x 1 = 2x2 9x. which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 2x) 1 = 2x2 4x

2 = 2(x2 2x 1) 3 = 2(x 1)2 2 = 2(x 1)2
Mathematics
2 answers:
OverLord2011 [107]1 year ago
7 0

Steps to complete the square used to solve the equation were discussed.

The given quadratic equation is:

5x+1=2x^{2} +9x.....(1)

<h3>What is a quadratic equation?</h3>

Any equation of the form ax^{2} +bx+c=0 with a\neq 0 called a quadratic equation.

Rearranging the equation (1):

2x^{2} +9x-5x=1

2x^{2} +4x=1

2x^{2} +4x+2=1+2

2x^{2} +4x+2=3

2(x^{2} +2x+1)=3

2(x+1)^2=3........(2)

So, the required answer is equation (2).

Hence, steps in the process of completing the square used to solve the equation were discussed.

To get more about quadratic equations visit:

brainly.com/question/1214333

makvit [3.9K]1 year ago
7 0

Answer:

1 2 3

Step-by-step explanation:

hope this helps

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J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
lana [24]
Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
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2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
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3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50
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