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Viefleur [7K]
3 years ago
14

Solve by co pelting the square 4x^2-16x+5=-2

Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

x = 1/2,  7/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Completing the Square: (b/2)²
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

4x² - 16x + 5 = -2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Isolate <em>x </em>terms:                    4x² - 16x = -7
  2. Factor GCF:                         4(x² - 4x) = -7
  3. Isolate <em>x </em>terms:                    x² - 4x = -7/4
  4. Complete the Square:        x² - 4x + 4 = -7/4 + 4
  5. Simplify:                               (x - 2)² = 9/4
  6. Square root both sides:      x - 2 = ±3/2
  7. Isolate <em>x</em>:                              x = 2 ± 3/2
  8. Evaluate:                              x = 1/2,  7/2
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Mamont248 [21]

Answer:

x=4

Step-by-step explanation:

subtract 2 from both sides---

5x + 2 - 2 = 22 - 2

simplify ---

5x=20

Divide both sides by 5 -----

5x/5 = 20/5

simplify -----

x-4

hope this helps :)

5 0
3 years ago
Find the value of x.<br> B<br> X+5<br> 4<br> D<br> E<br> 2x<br> 3<br> А<br> x = [?]
Greeley [361]

Answer:

x = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is

\frac{BD}{BA} = \frac{BE}{BC}, substitute values

\frac{x+5}{3x+5} = \frac{4}{7} ( cross- multiply )

4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )

12x + 20 = 7x + 35 ( subtract 7x from both sides )

5x + 20 = 35 ( subtract 20 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

5 0
3 years ago
A storage container consists of a box of length 90cm, width 42 cm and height 34 cm, and a lid
Ivanshal [37]

Answer:

20079.05 cm^2,

Step-by-step explanation:

Surface area of the box without the lid

=  90*42 + 2(90*34) + 2(42*34) = 12756.

Now find Surface area of the half cylinder:

The diameter of the 2 half circles = 42 so the radius = 21.

The area of the lid  

= 2 + 1/2 π (21)^2 + π r * 90

= 7323,052

Total = 20079.052

 

7 0
2 years ago
In the expression a=k over b, what is k ?
andreyandreev [35.5K]

Answer: k=ab

Step-by-step explanation:

a=\frac{k}{b}

ab=k

8 0
3 years ago
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Sveta_85 [38]
There was already a question like this on here so i’m going off the answer already given: 30 hours, i hope it’s right
3 0
2 years ago
Read 2 more answers
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