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Anuta_ua
3 months ago
10

Choose the solutions of the following systems of equations x^2+y^2=6 and x^2-y=6

Mathematics
1 answer:
AnnZ [12.3K]3 months ago
7 0

Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

We start with the equations:

{x}^{2} + {y}^{2} = 6

and

{x}^{2} - y = 6

Rearranging the second equation to make y the subject results in;

y = {x}^{2} - 6

Substituting into the first equation gives us:

{x}^{2} + ({x}^{2} - 6 )^2= 6

x = \pm \sqrt{6}

and x = \pm \sqrt{5}

The solutions remain as (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

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