Posted by **Hollie** on Tuesday, June 19, 2012 at 7:31pm.

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 -
**bobpursley**, Tuesday, June 19, 2012 at 7:53pm
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 -
**Damon**, Tuesday, June 19, 2012 at 7:54pm
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 -
**Damon**, Tuesday, June 19, 2012 at 7:57pm
I left out y = -5, x = -i sqrt 5

y = (-isqrt5)^2 = -5 yes

-5 + 25 = 20 yes

## Answer this Question

## Related Questions

- Grade 10 Math - Write an equation that forms a system of equations with x + y = ...
- Math - Write an equation in standard form for the line whose slope is undefined ...
- math - How do you solve system of equations and tell if they're consistant and ...
- Algebra 1 - I have been trying to figure out how to solve multi-step equations. ...
- Math - I am stuck on trying to figure out how to do this question. Could someone...
- Math - I do not understand how to figure out my problem below and can not find ...
- Math - Solve these system of equations. Then, write the final answer in (x,y) ...
- Math - Solve the following system of equations. Then, write the final answer in...
- math - you have an unlimited supply of 5% saline solution and 8% saline solution...
- Math - system of equations - write two other equations that have the same ...

More Related Questions