![archersmithdrag](/avatars/29651.jpg)
archersmithdrag
17.03.2020 •
Mathematics
How many solutions are there to this equation 3x(x-4)+5-x=2x-7
Solved
Show answers
More tips
- F Food and Cooking How many stages of coffee roasting are there?...
- G Goods and services Kogda zhdatt Iphone 5? The Latest News and Rumors...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics g 25 families live in a neighborhood: 10 families of them each have 1 child, 10 families each have 2 children, 4 have 3 children, and 1 have 4 children. If we pick...
- M Mathematics Y= (x) = (1/9)* Find f(x) when x= (1/2) Round your answer to the nearest thousandth...
- M Mathematics MORE FREE POINTS THERE WAS A DELAY OF POINTS...
- B Business United FiberTech Most employees at United FiberTech support the idea that the company s success depends on their willingness to continually change and improve customer...
- M Mathematics Willie runs 3 miles in 33 minutes. if willie runs at the same rate, how many miles can he run in 143 minutes?...
- S Social Studies Which of the following is NOT a beneficial effect of active citizenship? A Active citizenship helps prepare future leaders. B. Active citizenship promotes service in...
- A Arts Guess the song Let s go When i m cloning with my doppelgangers Racking up the numbers See you wonder If you ever gonna beat me See these hands Put em in to motion Making...
Ответ:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
x = 1x = 4__
To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
__
Alternate method
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
Ответ:
404 times
Step-by-step explanation: