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
ElenaW [278]
3 years ago
6

Give all solutions if the nonlinear system of equations, including those with no real complex components.

Mathematics
2 answers:
Ksivusya [100]3 years ago
6 0
Y=x^2+6x
Apply the value of y into the equation below:
4x-y=-24
4x-(x^2+6x) = -24
4x-x^2-6x = -24
x^2+2x-24=0
(x+6)(x-4)=0
Therefore x can be -6 or 4
If x = -6
Then y = (-6)^2+6(-6) = 36 -36=0
If x = 4
Then y = (4)^2 + 6(4) = 16 + 24 = 40<span>
</span>
konstantin123 [22]3 years ago
4 0
\left\{\begin{array}{ccc}y=x^2+6x\\4x-y=-24\end{array}\right\\\\substitute:\\\\4x-(x^2+6x)=-24\\\\4x-x^2-6x+24=0\\\\-x^2-2x+24=0\\\\a=-1;\ b=-2;\ c=24\\\\\Delta=b^2-4ac

\Delta=(-2)^2-4\cdot(-1)\cdot24=4+96=100\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\x_1=\frac{2-10}{2\cdot(-1)}=\frac{-8}{-2}=4;\ x_2=\frac{2+10}{2\cdot(-1)}=\frac{12}{-2}=-6\\\\y_1=4^2+6\cdot4=16+24=40;\ y_2=(-6)^2+6\cdot(-6)=36-36=0\\\\Answer:\\x=4\ and\ y=40\ or\ x=-6\ and\ y=0
You might be interested in
Use synthetic division to solve (x^3+1)/(x-1). What is the quotient?
Sav [38]

Answer:

  x^2 +x +1

Step-by-step explanation:

See below for the tableau. The quotient is x^2 +x +1.

___

The remainder is 2.

7 0
3 years ago
Can I get some help Please?
MAXImum [283]

Answer:

Yes

Step-by-step explanation:

So quadratic formulas help

4 0
2 years ago
Pls help, I cannot do this and it is due 8-28-20
Jet001 [13]

Answer:

20. J, 21. B

Step-by-step explanation:

20. P = 15 (2) + 8 (2)

      P = 36 ft.

21. 15 - 6 = 9 ft.

8 0
3 years ago
Read 2 more answers
in a single drawer, erin has some socks of different colors: 3 black and 9 orange. if she pulls one sock out of the drawer what'
klasskru [66]
1:3 you would pull one black sock every 3 orange socks
8 0
2 years ago
Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39. What is the average price of his books? Choose th
ch4aika [34]
I think the correct answer among the choices presented above is option B. Average is the sum of all the data divided the number of data added. From the statement, we have 3 prices to be added and divided by 3. Therefore, the average is calculated as

<span>($32 + $45 + $39) ÷ 3</span>
7 0
3 years ago
Other questions:
  • 45% of the class is girls. There are 90 girls in the class. How many students are<br> in the class?
    15·1 answer
  • mark went to two stores to buy a shirt,pants,and shoes. he wants to know which store has the better deal. ( item:shirts $23.89,p
    13·1 answer
  • What is the minimum cuts<br> needed to cut a circle into 8<br> equal parts?
    7·2 answers
  • Solve 4(2x - 1) - 3 = 9(x - 4). (1 point)
    13·1 answer
  • Please help!<br> Subtract h + 3 ​​from​ 6h + 1.
    6·1 answer
  • Please answer question on attachment. THANK YOU SO MUCH!!
    8·1 answer
  • Which choices are equivalent to the expression below?<br> Check all that apply.
    12·1 answer
  • Write an expression for y more than 2
    14·1 answer
  • A recipe uses 5 cups of water for<br> every 3 cups of flour?
    13·1 answer
  • Explain why an elevator with 3 people in it is less dense with an elevator with 50 people in it
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!