1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
2 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]2 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.

You might be interested in
Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jason’s too
Nat2105 [25]
96/8=12 so the answer is 12m
4 0
3 years ago
Slope of points (2,2) and (-2,-2)
nika2105 [10]

SLope = (2 + 2)/(2 + 2) = 4/4 = 1

Answer

1

8 0
3 years ago
Help me please i have another page to due as well it’s all tiring
lutik1710 [3]

Pythagorean Theorem: a^2 + b^2 = c^2

-A and B are legs of the triangle

-C is the hypotenuse

#1.

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

c = 10

#2.

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

c = 13

#4.

10^2 + 4^2 = c^2

100 + 16 = c^2

116 = c^2

c = 4\sqrt{29}

#5.

15^2 + 9^2 = c^2

225 + 81 = c^2

306 = c^2

c = 3\sqrt{34}

#6.

120^2 + b^2 = 150^2

14400 + b^2 = 22500

b^2 = 8100

b = 90

#7.

144^2 + b^2 = 194^2

20736 + b^2 = 37636

b^2 = 16900

b = 130

Hope this helps!! :)

4 0
3 years ago
HELP PLS I NEED THIS RIGHT NOW
Ne4ueva [31]

Answer:

period = 2

Step-by-step explanation:

The period is the measure of 1 complete cycle of the wave

The wave enters at x = 0 , y = - 0.5

After 1 cycle the wave is at x = 2, y = - 0.5

period = 2 - 0 = 2

6 0
3 years ago
The larger of the two numbers is 4 more than twice the smaller. The difference of the larger number and the smaller number is 6.
xxMikexx [17]

Answer:

2 and 8

Step-by-step explanation:

Larger number = y

Smaller number = x

---------------------------------

y = 2x+4

y - x = 6 ->  y= x+6

---------------------------------------

x + 6 = 2x + 4

2 = x

y = x+ 6

y = 2 + 6

y = 8

Hope this makes sense!!!!

8 0
3 years ago
Other questions:
  • Which polynomial is in standard form?
    6·1 answer
  • Which statement describes the relationship between labor cost and time for a car repair?
    8·1 answer
  • 1,Combine the Like Terms: -2x + 7 + 9x - 4
    5·1 answer
  • During the past six months, 73.2 percent of U.S. households purchased sugar. Assume that these expenditures are approximately no
    8·1 answer
  • If the perimeter of a square is 5 feet now many Inches long is each side of the square
    12·2 answers
  • PLEASE ANSWER ASASP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
  • Can someone plz help and hurry.
    7·2 answers
  • Determine whether the statement is true or false. Give an example,
    11·1 answer
  • Pls help due today just need 9,10 and 11
    11·1 answer
  • Hreuhgsdkhlgiuhrefgrdiugkudhskjghejhgrbiuvherighjidhrlugi
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!