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]
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.

You might be interested in
Can someone please help me with this problem? An explanation would be great, but it can be short. Thank you!!
ss7ja [257]

We are given two points: (4, -8) and (8, 5)

General equation of a line: y = mx + c

First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient

(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m

y = 3.25x + c

Now we need to find c (the y-intercept; the value of y when x=0).

Substitute in any one of the coordinates - let's use (8, 5)

(5) = 3.25(8) + c

(5) = 26 + c

c = -21

The equation of the line: y = 3.25x - 21


I think that this answer is correct - sorry if it seems rushed.

Hope this answer helps :)

7 0
3 years ago
Distribute: -3(4a-5b+c)​
kvv77 [185]

Answer:

I got it.

Step-by-step explanation:

-12a - (-15b) + (-3c)

4 0
3 years ago
What is the ratio 44/12 in simplest form
mylen [45]

Answer:

11/3

<em>Alternative Form: </em>3 2/3, 3.6

Step-by-step explanation:

44/12

Dive the numerator and denominator by 4

44/4 / 12/4

11/ 12/4

11/3

3 0
3 years ago
Read 2 more answers
Write the following as an inequality. x is greater than 4 and less than or equal to 8 Use x only once in your inequality. pls hu
Lapatulllka [165]

Answer:

8>_x>4

>_ this is greater than equal to symbol eight is greater than or equal to x is greater than 4

6 0
3 years ago
Which statement is true about the frequency distribution below
dexar [7]

Answer:

 

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • T B'(4, -8) was transformed using the translation (x - 2, y + 3). What were the coordinates of B?
    14·1 answer
  • 13. Identify the y-intercept and the slope for each equation.
    13·1 answer
  • I Need Help , Help Me Out Please !!!!
    9·1 answer
  • The surface areas of two similar figures are 81 m2 and 121 m2. The volume of the
    10·1 answer
  • Graph this function using intercepts:<br> 5x–3y=30
    5·1 answer
  • I NEED HELP ASAP!!!! Pleaseeee
    10·2 answers
  • The costs of a pack of noodles, a can of soda and a pack of bread buns are 120 Pesos, 45 Pesos, and 50 Pesos respectively. Brayd
    13·1 answer
  • Whats 2+2
    11·1 answer
  • A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon spa
    12·1 answer
  • At Beast Island Pizza, every pizza comes with cheese and tomato sauce. Beast Island Pizza offers four toppings: Pepperoni, sausa
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!