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never [62]
3 years ago
9

Solve the following quadratic by completing the square. y = x2 – 8x + 5

Mathematics
2 answers:
4vir4ik [10]3 years ago
7 0

Answer:

x = 4  ± √11

Step-by-step explanation:

hello :

x²-8x+5=  x² -2(4 )(x)+5

 x²-8x+5=  x² -2(4 )(x)+5 =  ( x² -2(4 )(x) +4²) -4²+5

                                      = (x-4)²-11 .....(   completing the square )

    x²-8x+5= 0   means :      (x-4)²-11 = 0

      (x-4)²=11      but : 11 =   (√11)²  =  ( - √11)²

x-4 =√11   or    x-4 =  -√11

x = 4  ± √11                                                  

pashok25 [27]3 years ago
5 0

Answer:

x = 4 ± \sqrt{11}

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² - 8x + 5 = 0 ( subtract 5 from both sides )

x² - 8x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 5 + 16

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± \sqrt{11} ( add 4 to both sides )

x = 4 ± \sqrt{11}

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Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

<em>A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.</em>

<em>Answer:</em>

The car will travel 37.5 miles in one hour.

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<em>Fetching data from Question:</em>

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

<em>a) How many miles a car will travel in one hour?</em>

<em>b) How many miles will the car travel in 4 hours?</em>

<em>Calculation:</em>

<em>a) How many miles a car will travel in one hour?</em>

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

                      i.e. 60/1.6 = 37.5 miles per hour  

So, the car will travel 37.5 miles in one hour.

<em>b) How many miles will the car travel in 4 hours?</em>

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

                                 The distance =  speed × time

                                                        =  37.5  × 4

                                                        =  150 miles

So, the car travel 150 miles in 4 hours.

<em />

<em>Keywords: distance, speed, kilometers, miles</em>

<em> learn more about distance travel and speed from brainly.com/question/12580265 </em>

<em> #learnwithBrainly</em>

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