The Trig Explorer/The Trig Explorer.iso/pc/2xy_demo/library/examples/examp17.lib

Text File | 2000-02-29 | 2.0 KB | 219 lines

>Symmetric equation. (substitution)
3x^4≤-2x^3≤+x^2≤-2x+3=0
MYSZEK 2xy
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We solve the symmetric equation.

Steps 1-4 involve bringing the equation to a form in which we can see how a
substitution, typical for this type of equation, can be used. To do this we
have to divide by a variable, but because x=0 is not a root of the equation
we do not have to open a new case.

After substitution we obtain a quadratic equation, step 5.
In steps 5-7 we solve this equation.

Step 8. We go back to the old variables and break down the problem into
cases (SHIFT+y). We solve each case separately.

Case 1, step 13.
We wish to solve a quadratic equation. To do this we must find delta.
Notice that we have used a subscript with the delta symbol, as plain delta
with no subscript has already been used.
There is no solution because delta is negative.

The remainder of the solution of Case 2 is left to the user.


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