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The calculator cannot do symbolic algebra. If equation is aX^2+bX+c=0, write it in the form a(X^2+(b/a)X+(c/a))=0 and solve the quadratic equation X^2+(b/a)X+(c/a)=0. Get the approximate roots X1, and X2 (if they exist) and write your original equation in the for
Your quadratic polynomial is factored as a(X-X1)(X-X2)
You can do it the same way people did it before calculators were invented. Just use the quadratic formula: http://en.wikipedia.org/wiki/Quadratic_formula. Some sophisticated calculators have generalized equation solvers that can handle equations much more complicated than the quadratic, but the fx-82 isn't one of them.
You can do it the same way people did it before calculators were invented. Just use the quadratic formula: http://en.wikipedia.org/wiki/Quadratic_formula, and let the calculator handle the arithmetic. Some sophisticated calculators have generalized equation solvers that can handle equations much more complicated than the quadratic, but the fx-82 isn't one of them.
Your scientific calculator is unable to solve complex equation with complex coefficients. You should try to solve by hand directly using the quadratic formula or by factoring the polynomial in z failing that, another way would be to set z=x+iy, substitute this for z, carry out the algebra and try to separate real and imaginary parts. But your two equations will constitute a system of two quadratic equations. I am not aware of any general method to solve coupled nonlinear equations. Good luck.
Set the computational mode to EQN: Press [MODE] and select the number corresponding to EQN. You will have the choice between linear, quadratic, or cubic. Select Quadratic. You will be given a template where to enter the values of the coefficients a, b, c. Enter the values of the coefficients in the right order and press [=] at the lower right side.
Press MODE 5 to bring up the equation types. Press 3 for the quadratic. Enter the three coefficients. Press = to see the first root. If the display shows x1 then press down to see the other other root. If the display only shows x then that's a double root. Given the two roots x1 and x2, the factors of the quadratic are (x-x1) and (x-x2).
Refer to "Equation Calculations" on page E-55 of the manual and examples #094 and #095 in the appendix for examples of solving quadratic equations. If the you need the manual and/or appendix, you can download them from http://support.casio.com/manualfile.php?rgn=1&cid=004001004