SOLUTION: Can someone please walk me through this? Solve the system of equations by substitution for real values of x and y. x^2 + y^2 = 58 y = x^2 - 2 (_____,_____) (smaller x valu

Algebra ->  Systems-of-equations -> SOLUTION: Can someone please walk me through this? Solve the system of equations by substitution for real values of x and y. x^2 + y^2 = 58 y = x^2 - 2 (_____,_____) (smaller x valu      Log On


   

Question 328418: Can someone please walk me through this?
Solve the system of equations by substitution for real values of x and y.
x^2 + y^2 = 58
y = x^2 - 2
(_____,_____) (smaller x value)
(_____,_____) (larger x value)
Thank you,
Edgar
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%5E2+%2B+y%5E2+=+58
2.y+=+x%5E2+-+2
From eq. 2,
x%5E2=y%2B2
Substitute into eq. 1,
y%2B2%2By%5E2=58
y%5E2%2By-56=0
%28y-7%29%28y%2B8%29=0
Two solutions for y.
y-7=0
y=7
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y%2B8=0
y=-8
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.Now solve for x.
x%5E2=y%2B2
x%5E2=7%2B2=9
x=0+%2B-+3
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.
.
x%5E2=-8%2B2
x%5E2=-6
No solution.
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.
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(-3,7) and (3,7) are the solutions
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