SOLUTION: x-y^2+6=0 2x^2+y^2-7-0 what are all possible (x,y) solutions?

Question 981319: x-y^2+6=0
2x^2+y^2-7-0
what are all possible (x,y) solutions?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x-y^2+6=0
2x^2+y^2-7=0, editing

x=y^2-6;x^2=y^4-12y^2+36
substitute
2y^4-24y^2+72+y^2-7=0
2y^4-23y^2+65=0
(2y^2-13)(y^2-5)=0
2y^2=13
y^2=(13/2)
y= +/- sqrt (26)/2; after rationalizing the denominator
y^2=5
y= +/- sqrt (5)
first equation becomes
x-5+6=0; x+1=0, x=-1
x=-1; y=+/- sqrt (5); +/- sqrt (26)/2
second equation becomes
2+5-7=0 ; checks
RELATED QUESTIONS
x^2+y^2=76 x^2-y^2=4 What are all the possible... (answered by josgarithmetic)

Solve if possible 3x+y+2= 0 2 x-y+2=0... (answered by ewatrrr)

Use the substitution method to find all solutions of the system equations. 4. x^2 +... (answered by Fombitz)

kindly answer this using nonlinear equations. (w/solutions if possible).. Thank you!... (answered by rothauserc)

find all solutions of the system of equations. {x + sqrt (y) = 0 {y^2 - 2x^2 =... (answered by robertb)

Solve the following systems of equations and find all possible solutions as (x,y).... (answered by meetkisai)

Find all X and Y (in R) so that A*A=A*B A=[ X, 0 -3, Y] B=[2, 0 4, Y]... (answered by Fombitz)

y=7-3x x|y 6| 1| 0|... (answered by Fombitz)

x+y<5+2 y>2 what are the... (answered by stanbon)