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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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Answer:

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Step-by-step explanation:

There are two ways to obtain the answer to the question.

Method 1:

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Making x the subject, we have

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2x = –1

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x = –1/2

Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:

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Method 2:

Divide 4x³ – 6x² – 8x + 7 by 2x + 1

Please see attached photo for explanation.

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4 years ago
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