Sign In
Ask Question
Mathematics
Amira Marshall
Today, 09:02
Which equation is equivalent y = 3x^2-15x+18
+5
Answers (
1
)
Mariah Cardenas
Today, 11:10
0
Two solutions were found:
x = 6
x = - 1
Step by step solution:
Step 1:
Equation at the end of step 1:
(3x2 - 15x) - 18 = 0
Step 2:
Step 3:
Pulling out like terms:
3.1 Pull out like factors:
3x2 - 15x - 18 = 3 • (x2 - 5x - 6)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 5x - 6
The first term is, x2 its coefficient is 1.
The middle term is, - 5x its coefficient is - 5.
The last term, "the constant", is - 6
Step-1 : Multiply the coefficient of the first term by the constant 1 • - 6 = - 6
Step-2 : Find two factors of - 6 whose sum equals the coefficient of the middle term, which is - 5.
-6 + 1 = - 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 6 and 1
x2 - 6x + 1x - 6
Step-4 : Add up the first 2 terms, pulling out like factors:
x • (x-6)
Add up the last 2 terms, pulling out common factors:
1 • (x-6)
Step-5 : Add up the four terms of step 4:
(x+1) • (x-6)
Which is the desired factorization
Equation at the end of step 3:
3 • (x + 1) • (x - 6) = 0
In Conclusion, the answer would be 0.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Which equation is equivalent y = 3x^2-15x+18 ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Factorise 6pq - 2q + 8aq conpletely
Answers (1)
An ice cream cone has a 1 in radius and is 4 inches tall. How much ice cream can the cone hold?
Answers (1)
Simplify the complex fraction 2/3 over 1/3
Answers (1)
I am odd my units digit is greater than my tens digit my tens digit is twice my hundreds digit my units digit is a perfect square
Answers (1)
Chris and lisa went shopping and spent a total of $25.50. lisa spent $13.50 more than what chris spent. How much did Lisa spend
Answers (1)
New Questions in Mathematics
On a island, the population of flamingos is currently 400, and this population doubles every 3 years. Which of the following functions will correctly model this situation? Assume t is measured in years.
Answers (1)
Use properties ti find the sum or product
Answers (1)
Suppose that there are three astronauts outside a spaceship and they decide to play catch. all the astronauts weigh the same on earth and are equally strong. the first astronaut throws the second one toward the third one and the game begins.
Answers (1)
Can u show 24 divided 4 with one rectangle
Answers (1)
Explain how bias in the survey might have affected the results. A survey asks teens, "Do you, like most teenagers, dislike listening to boring classical music?" The results show that teens dislike classical music. A.
Answers (1)
Home
»
Mathematics
» Which equation is equivalent y = 3x^2-15x+18
Sign In
Sign Up
Forgot Password?