I have question can HP Prime Solve these two functions?
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05-11-2020, 05:14 PM
Post: #10
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RE: I have question can HP Prime Solve these two functions?
(05-11-2020 03:35 PM)swagner53 Wrote: I entered the 2 equations as in the attached screen shot and got the 1,1 answer from the TI Inspire Actually, this is a 9-degree equation, with 3 real and 6 complex solutions eqn2: y^3 + x*y^2 = 2 → x = (2-y^3)/y^2 eqn1: x^3 + 9*x^2*y = 10, substitute x from above (8*y^9 - 30*y^6 + 24*y^3 + 8) / y^6 = 10 8*(y^9 - 5*y^6 + 3*y^3 + 1) = 0 8* (y^3 - 1) * ((y^3 - 2)^2 - 5) = 0 y^3 = 1, 2 ± √5 y = 1, φ ,1-φ, w, wφ ,w(1-φ), w², w²φ, w²(1-φ), where w=exp(i*pi/3), φ=(1+√5)/2 |
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