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
Sveta_85 [38]
2 years ago
14

X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?

Mathematics
1 answer:
cluponka [151]2 years ago
4 0

Answer:

x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

Step-by-step explanation:

I'm assuming the system is \left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.:

x^2+y^2=2

x^2+(2x^2-3)^2=2

x^2+(4x^4-12x^2+9)=2

x^2+4x^4-12x^2+9=2

4x^4-11x^2+9=2

4x^4-11x^2+7=0

x^4-11x^2+28=0

(x^2-7)(x^2-4)=0

(4x^2-7)(x^2-1)=0

4x^2-7=0

4x^2=7

x^2=\frac{7}{4}

x=\pm\sqrt{\frac{7}{4}}

x^2-1=0

x^2=1

x=\pm1

y=2x^2-3

y=2(\pm\sqrt{\frac{7}{4}})^2-3

y=2({\frac{7}{4}})-3

y=\frac{7}{2}-3

y=\frac{1}{2}

y=2x^2-3

y=2(\pm1)^2-3

y=2(1)-3

y=2-3

y=-1

Therefore, x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

You might be interested in
The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.
Korvikt [17]
x - y = 16
x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
4 0
3 years ago
A circle has a circumference of 7.85 yards what is the diameter of the well
Vsevolod [243]
2.5 yds
C=2πr
d=2r
Solving ford
d=C
π=7.85
π≈2.
4 0
3 years ago
Suppose your​ friend's parents invest $15,000 in an account paying 5% compounded annually. What will the balance be after 10 ​ye
Bad White [126]

Answer:

ofofxotdurz8sues8re8r8zirrizririzrir9

8 0
3 years ago
What type of costs associated with purchasing a car are determined by the state of purchase?
jekas [21]

Answer:

Tax credits

State licensing fees

State taxes

Step-by-step explanation:

Tax credits- Usually referred to as a tax deduction. States such as California have an electric car tax credit to encourage transition from carbon-fueled cars to electric or hybrid cars.

State licensing fees-Cars are usually registered in the state in which they are purchased. As such you have to pay the state's licensing fee during car purchase.

State taxes-Different states have different sales tax charged on new, used or leased cars.

6 0
3 years ago
What factors of 20 are also factors of 50
spayn [35]
The easiest way to find the factors of a pair of numbers, is simply to write out the factors until you find the ones that they have in common. So in this case, these factors would be listed as follows:
20: 1,2,4,5,10,20
50: 1,2,5,10,25,50.
From looking at these numbers, we can therefore see that the common factors are: 1,2,5,10
7 0
3 years ago
Read 2 more answers
Other questions:
  • Simplest form 15/23 × 6/7
    6·1 answer
  • Find the arc length function for the curve with starting point (0,1).<br> y=sin−1x+√1−x2
    8·1 answer
  • Find the slope and the y-intercept of the line
    6·1 answer
  • Draw a line to show the mixed numbers fractions that have the same value I need help ASAP please help me. Sorry about the qualit
    7·1 answer
  • 2x – 8x + 6<br> What is the answer when factoring this equation
    9·2 answers
  • A student in Greece discovers a pottery bowl
    12·1 answer
  • Fabian hikes at a rate of 3 miles per hour. how far can she home in for hours?
    15·1 answer
  • 3 1/2 × 16 need help<br>​
    15·1 answer
  • GIVING BRAINLIEST! DUE TODAY!!!
    9·2 answers
  • What are three different<br>numbers that could by multiplied<br>by a power of ten to equal 7,500?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!