# Math

posted by .

Hi,
I can't seem to figure out the answer to this problem.
Thanks to anyone who can help!

*Solve the system of equations. Write your solution(s) in the form (x,y).

y = x^2
x^2 + y^2 = 20

• Math -

x^2+x^4-20=0
(x^2-4)(x^2+5)=0
(x+2)(x-2)(x^2+5)=0

x= +-2, x= +-sqrt(-5

(2,4)(-2,4)(sqrt-5,-5)(-sqrt-5, -5)

• Math -

y + y^2 = 20

y^2 + y - 20 = 0
(y-4)(y+5) = 0
y = 4 or y = -5
y = 4 is easy, then x = -2 or +2
y = -5 means x = i sqrt 5
now go back and see which of those solutions work in the original
if y = 4 and x = 2 then
yes, y = x^2
and
yes, 4 + 16 = 20

if y = 4 and x = -2 then
yes, y = x^2
yes, 4 + 16 = 20

if y = -5 and x = i sqrt 5
yes, y = x^2
yes, -5 + 25 = 20

• Math -

I left out y = -5, x = -i sqrt 5
y = (-isqrt5)^2 = -5 yes
-5 + 25 = 20 yes

## Similar Questions

1. ### math

How do you solve system of equations and tell if they're consistant and independant,consistant and dependent,and inconsistant?
2. ### Math

I do not understand how to figure out my problem below and can not find an example in my book. Can someone give me a suggestion on how I can arrive at my answer. Problem: Write a system of inequalities whose solution set is the region …
3. ### Math

Write an equation in standard form for the line whose slope is undefined that passes through (5,-3) Please help me solve, my answer is 5x-3y=0... It was marked wrong and i can not seem to figure it out.
4. ### Math

I am stuck on trying to figure out how to do this question. Could someone please show me 5 necessary steps ?

Write an equation that forms a system of equations with x + y = 4, so that the system has: a) No solution b) Infinitely many solutions c) One solution I know how to figure out if two linear systems have a solution, but I don't understand …
6. ### Algebra 1

I have been trying to figure out how to solve multi-step equations. Such as 1/2x+1/4x=16. How do you solve these?
7. ### Math

Solve these system of equations. Then, write the final answer in (x,y) form. 1.) x-y=7 3x+2y=6 2.) 2x-4y=3 -3x+5y=1
8. ### Math

You are supposed to come up with an equation to solve this problem. I have figured out how to do it, just not what the equation is supposed to look like. Anyways, here is the word problem. The taxi fare in Gotham City is \$2.40 for …
9. ### Algebra

Create a system of equation that has no solution: - write the equations in two different forms(4) Create a system of equation that has infinitely many solution - write the equations in two different forms (4) One important Question: …
10. ### precalculus

please check my answers 1.Use Gaussian elimination to write the system of equations given below in row-echelon form. 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6 answer:2x+4y+z=-4 8y-5z=-17 z=1 2.Find the solution to the system of equations given …

More Similar Questions