Ashwaq R.

asked • 01/17/18

Equation is quadratic or not?explain?

(x+1⁄x)2=3(x+1/x)+4

1 Expert Answer

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Andrew M. answered • 01/17/18

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(x+1⁄x)2=3(x+1/x)+4
 
x2 + 2 + 1/x2 = 3x + 3/x + 4
Multiply through by x2 to clear fractions
x4 + 2x2 + 1 = 3x3 + 3x + 4x2
x4 - 3x3 - 3x2 - 3x + 1 = 0
 
This is not a quadratic...
ax2 + bx + c = 0  is quadratic.  This is a fourth order equation. 
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