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kari74 [83]
3 years ago
14

Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

76

2 real solutions

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<u> </u>

<u>Algebra I</u>

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

  • Positive - 2 solutions
  • Equal to 0 - 1 solution
  • Negative - No solutions/Imaginary

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 6x - 10 = 0

<u>Step 2: Identify Variables</u>

<em>Compare quadratic.</em>

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

<u>Step 3: Find Discriminant</u>

  1. Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)
  2. [Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)
  3. [Discriminant] Multiply:                                                                                    36 + 40
  4. [Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.

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rodikova [14]

Answer:

Option D.

Jenn's answer is not correct. She got it substituting c=4 into the equation and solving for "x".

Step-by-step explanation:

Given the following equation:

\frac{1}{2}(2x + 4) = 3x-c

Since you need that x=4, you hace to substitute that value into the equation:

\frac{1}{2}(2(4) + 4) = 3(4)-c

Now you need to solve for "c":

\frac{1}{2}(8 + 4) = 12-c\\\\\frac{12}{2}= 12-c\\\\6=12-c\\\\c+6=12\\\\c=12-6\\\\c=6

Therefore for a  a value of c=6, you get x=4

Then, the you can identify that the correct answer is the one given in the Option D.

Jenn made a mistake, because she substituted c=4 into the equation and then solve for "x":

\frac{1}{2}(2x + 4) = 3x-(4)\\\\x+2=3x-4\\\\2+4=3x-x\\\\6=2x\\\\\frac{6}{2}=x\\\\x=3

3 0
3 years ago
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klio [65]

Answer:

19 sides

Step-by-step explanation:

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worty [1.4K]

Answer:

whole numbers

Step-by-step explanation:

integers: numbers without fractional value in both negative and positive values.

whole numbers: numbers without fractional value in positive values

rational numbers: numbers that have repeating decimals

irrational numbers: numbers that have infinite but non-repeating decimals.

process of elimination:

Integers go negative, but in the real world laundry can't go negative. so no

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I need to know how to do question 24 part b
ANTONII [103]
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A zombie lost 3 limbs each day for 4 days. How many limbs did the zombie lose in total
ivann1987 [24]

Answer:

12 would be your answer.

Step-by-step explanation:

There were 4 days and the zombie lost 3 limbs each of those 4 days so 3×3×3×3=12 or 3×4=12. I hope this helps you : )

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