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Leona [35]
3 years ago
11

Solve 2x2 + 12x − 14 = 0 by completing the square.

Mathematics
2 answers:
horsena [70]3 years ago
8 0
2x^2 + 12x-14 = 0\\2(x^2+6x-7)=0\ /:2\\x^2+6x+9-16=0\\x^2+6x+9=16\\(x-3)^2=4^2\\x-3=4\ \ \ or\ \ \ x-3=-4\\x=7\ \ \ \ \ \ \ \ \ or\ \ \ x=-1\\\\Ans.\ x=7\ or\ x=-1
andrey2020 [161]3 years ago
3 0
2x^2+12x-14=0\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2+6x-7=0\\\\x^2+2x\cdot3=7\ \ \ \ |add\ 3^2\ to\ both\ sides\\\\x^2+2x\cdot3+3^2=7+3^2\\\\(x+3)^2=7+9\\\\(x+3)^2=16\iff x+3=-\sqrt{16}\ or\ x+3=\sqrt{16}\\\\x+3=-4\ or\ x+3=4\\\\x=-4-3\ or\ x=4-3\\\\\boxed{x=-7\ or\ x=1}

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neonofarm [45]

We develop an equation for the given situation by first writing the general equation for lines,

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Substituting to this given the values given above,

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3 years ago
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from t
romanna [79]

The distance between the two schools on the map is (C) 4.2 inches.

<h3>What is the distance?</h3>
  • Distance is a numerical measurement of the distance between two objects or places.
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To find the distance:

On the map,2 inches represents 5 miles.

Thus, we can write:

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Since the actual distance between the two schools is 10.6 miles.

Multiplying both sides by 10.6 in equation (1).

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Know more about distance here:

brainly.com/question/17273444

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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?

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(B) 0.9 inch

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1 year ago
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Rus_ich [418]

Answer:

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Hope this helps & good luck!

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