Need algebra help for solving a system of nonlinear equations

Algebra
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Solve  the following system of equations

x² + y² = 2

y + 2x = -1

If more than one solution need them also

Nov 16th, 2015

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Nov 16th, 2015

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Nov 16th, 2015

x² + y² = 2

y + 2x = -1


y + 2x = -1

y= -2x-1


x² + y² = 2

x² + (-2x-1)² = 2

5x² +4x+1 =2

 5x² +4x -1 =0

(x+1)(5x−1)=0

x= -1 or x = 1/5..................................ANSWER


WHEN x =- 1

          y= -2x-1

         y=1................................ANSWER


WHEN x = 1/5

         y= -2x-1

        y = (-2/5) -1

        y= - 7/5............................ANSWER



ANSWER IS

x= -1  and y = 1

x= 1/5  and y = - 7/5



Nov 16th, 2015

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