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Lostsunrise [7]
3 years ago
7

2x2 - 4x –9 = 0 Completing the swuare

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}

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Assign two variables for each problem, and write the equations. Do not solve.
GalinKa [24]
Call the amount of pineapple "P', and the amount of gingerale "G".

We know that a mix of pineapple and gingerale makes 200 cups. So: 
P+G=200

We also know that double the pineapple (i.e. 2P) and triple the gingerale (i.e. 3G) makes 420 cups. So:
2P+3G=420

We can now solve by substitution:
2P+3(200-P)=420
2P+600-3P=420
-P=-180
P=180

180+G=200
G=20

For 420 cups we need 2P=360 cups of pineapple and 3G=60 cups of gingerale]

3 0
2 years ago
If a restaurant bills totals $85, what amount should be left as a 15$ tips A. $97.75 B. $11.90 C.$12.25 D. $12.75
Nata [24]
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85 * 15%

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4 0
3 years ago
Help please !!!!!!!!!!!!!!
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5 0
2 years ago
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REY [17]

Answer:

7x

Step-by-step explanation:

4+3= 7

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(since they both have the variable "x" we can combine them both)

have a good day! <3

8 0
3 years ago
the table shows the height of a plant as it grows. Which equation in point slope form gives the plants height at any time?
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possible answers are :
y - 21 = 7(x - 3)
or
y - 35 = 7(x - 5)
or
y - 49 = 7(x - 7)
or
y - 63 = 7(x - 9)

4 0
2 years ago
Read 2 more answers
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