SOLUTION: x^2+y^2=113
xy=56
what are the soultions?
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Question 1085675: x^2+y^2=113
xy=56
what are the soultions?
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x^2+y^2=113
xy=56
what are the soultions?
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Just by observation:
7^2 + 8^2 = 113
7*8 = 56
------------
(-7)^2 + (-8)^2 = 113
-7*(-8) = 56
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Substitute into the other equation.
discriminant,
, notice this is for .
,..... which will give that the combinations of solutions are the numbers 7 and 8. As example, x=7 and y=8; or x=-7 and y=-8.
Answer by ikleyn(52784) (Show Source): You can put this solution on YOUR website!
.
Curves = 113 and xy = 56.
On solving systems of non-linear equations see the lessons
- Solving algebraic equations of high degree
- Solving the system of algebraic equations of degree 2 and degree 1
- Solving the system of algebraic equations of degree 2
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Systems of equations that are not linear".
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