Question
Asked Nov 25, 2019
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Use any method to solve the nonlinear system. (Order your answers from smallest to largest x, then from smallest to largest y. If there is no solution, enter NO SOLUTION.)

x2 + y2  =  6
xy  =  1
(x, y)  = 
 
 
 
 
    
(x, y)  = 
 
 
 
(x, y)  = 
 
 
 
 
(x, y)  = 
 
 
 
 
    
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Expert Answer

Step 1

Given:

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Consider the given equation x2y61) xy 1 (2)

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Step 2

Solve the system of equations:

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Isolate x for xy = 1: x==; у 1 Substitute x-in equation (1) _ у y2 6 V Multiply both sides by y yy6y 1y6y2 y6 y2 10 Solve with the quadratic formula -(-6)±/(-6)* - 4-1 -1 У,2 2-1

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Step 3

The solution to the quadr...

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y 3+22,y 3-2/2 Solve y3+2: For xf(a)thesolutions are.x f(a), -//(a) y 3+ 2/2.yV3+2/2 Factor 3+2: 1) = 2 +1 V3 + 2/Z = --1 Solve y2 3-22: y=2-1,y=-2 +1

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Math

Algebra

Equations and In-equations