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DENIUS [597]
3 years ago
12

Solve the quadratic equation by completing the square. QUESTION ATTCHED BELOW!!!!!!!!!!

Mathematics
2 answers:
Maru [420]3 years ago
6 0

Answer:

{-6.59, -9.41}

Step-by-step explanation:

I like this problem. In order to start solving by completing the square, you need to get the left side in this form: a^2 + bx. Everything else needs to go to the other side of the equation. So step 1, subtract 62 from both sides. And the equation should look like x^2 + 16x = -62.

Then for step 2 you need to add (b/2)^2 to both sides. b is the 16 in our equation. So (16/2)^2 equals 64. So add 64 to both sides. So the equation should look like x^2 + 16x + 64 = 2. Now, you have completed the square and just need to factor for step 3. Because we completed the square, x^2 + 16 x + 64 will factor into the form (x + (b/2))^2. So it'll look like (x+8)^2 = 2. This is where you can click which form it is on your computer. It's addition, and fill in the numbers from left to right as 8 and 2. Step 4 is taking the square root of both sides. The square root on the left side will just cancel the square and leave you with x + 8, and the square root 2 - I would wait to simplify, so just leave it as x + 8 =

\sqrt{2}

For step 5, you need to isolate x by subtracting 8 from both sides. So now you should have x = \sqrt{2}

- 8. Now to simplify for step 6. Now in the calculator, type "sqr rt btn" 2 (close any parentheses at this point) and type minus 8. This is one solution - -6.59. Then, because you have a positive and negative solution from a square root, type neg. "sqr rt btn" 2 close parentheses for square root and neg if applicable, and type minus 8. and you should get -9.41 as your other solution. Now to go back and check out solutions, plug in one solution to x into the calculator and solve it. If the final statement is true, then the solution is true. then do same thing for other solution. Make sure they are rounded to the nearest hundredth as the directions read.

Mariulka [41]3 years ago
4 0

Answer:

x ≈ - 9.41, x ≈ - 6.59

Step-by-step explanation:

Given

x² + 16x + 62 = 0 ( subtract 62 from both sides )

x² + 16x = - 62

To complete the square

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

x² + 2(8)x + 64 = - 62 + 64

(x + 8)² = 2 ( take the square root of both sides )

x + 8 = ± \sqrt{2} ( subtract 8 from both sides )

x = - 8 ± \sqrt{2}

Hence

x = - 8 - \sqrt{2} ≈ - 9.41

x = - 8 + \sqrt{2} ≈ - 6.59

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Answer:

Choice C.

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of opposite parallel sides.

There is a theorem that states that opposite sides of a parallelogram are congruent.

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Side CD is opposite side AB, so they are congruent.

Answer:

Choice C.

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5 0
3 years ago
What is 700 divided by 371 +18-6?
wariber [46]

Answer:

700/383

Step-by-step explanation:

3 0
3 years ago
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HELPPP!!!! Both questions are incredibly confusing to me !!!!!
Darya [45]

Answer:

Step-by-step explanation:

I'm going to start with problem 3. You need to become familar with the kind of tricks teachers play on you.

Problem 3 depends on getting RS = RW.

RT = RT                                    Reflexive property

<STR = <WTR                           A straight line having 1 rt angle  actually has 2

ST = TU                                    They are marked as equal

Triangle STR=Triangle WTR    SAS

RS = RW                                    Corresponding parts of = triangles are =

8x = 6x + 5                                Subtract 6x from both sides

8x -6x = 6x - 6x + 5                   Combine

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x = 2.5

RU = 6*2.5 + 5

RU = 15 + 5

RU = 20

Now we can play with Question 4.

This question depends on the method used in three, although not entirely.

What you need to know is that W is on RT when you take a ruler and make RT longer. You can put W anywhere as long as it is on RT when it is made longer.

Directions

Make RT longer. Draw down and to your right.

Put a point anywhere on the length starting at T. Label this new point as W. There's your W. It goes anywhere on the part of RT made longer.

Draw UW.

Label UW as 8

Now draw another line from S to W. Guess what? By the methods used in question 3, it's also 8. So SW = 8

TW = TW                        Reflexive

<UTW = STW                 Same reason as in 3. UtW is a right angle

UT = ST                          Given (the marking tells you so.

ΔUTW = ΔSTW              SAS

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7 0
2 years ago
What is .466666 as a fraction?
katovenus [111]
As a fraction it is 466666/1000000
6 0
3 years ago
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I have another Brainliest reward
Luba_88 [7]
San Antonio to Dallas
65mph with 277 mi
277/ 65 = 4.26 hours
4.26 hours < 4.5 hours
so answer is YES

-----------------
Dallas to San Antonio:  277/4.75 = 58.32 mph
Lubbock to El Paso :    344/4.5 = 76.44 mph
San Antonio to Abilene: 261 / 4.25 = 61.41 mph
Dallas to Abilene: 185 / 3 = 61.67 mph

answer
lowest speed is :
Dallas to San Antonio in 4 3/4 hours


3 0
3 years ago
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