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X2+2xy=103x2 -xy=2Solve systems of nonlinear equations and graphing

Question

X2+2xy=10

3x2 -xy=2

Solve systems of nonlinear equations and graphing

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Step 1

Given,

х? + 2ху 3D 10
(i)
Зx2 — ху %3D 2
(ii)
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х? + 2ху 3D 10 (i) Зx2 — ху %3D 2 (ii)

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Step 2

Now, from equation (ii), we get

Зx2 — ху — 2
(iii)
ху 3 Зx2 — 2
Putting the value of xy in equation (i
x2 2(3x2 2)= 10
x26x24 = 10
7x2 14
x2 2
x +1.414
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Зx2 — ху — 2 (iii) ху 3 Зx2 — 2 Putting the value of xy in equation (i x2 2(3x2 2)= 10 x26x24 = 10 7x2 14 x2 2 x +1.414

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Step 3

Now,

...
1.414 then from equation (iii), we get
When x
1.414y 3(1.414)2 2
1.414y 4
y =2.828
-1.414 then from equation (iii),we get
Again, when x
-1.414y 3(-1.414)2 - 2
-1.414y 4
y =-2.828
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1.414 then from equation (iii), we get When x 1.414y 3(1.414)2 2 1.414y 4 y =2.828 -1.414 then from equation (iii),we get Again, when x -1.414y 3(-1.414)2 - 2 -1.414y 4 y =-2.828

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