For every non-zero value of p the function fp​(x)=p⋅x4−6⋅p⋅x2−5 has two inflection points P1​,P2​ in the xy-plane. Deter

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For Every Non Zero Value Of P The Function Fp X P X4 6 P X2 5 Has Two Inflection Points P1 P2 In The Xy Plane Deter 1 (15.8 KiB) Viewed 35 times

For Every Non Zero Value Of P The Function Fp X P X4 6 P X2 5 Has Two Inflection Points P1 P2 In The Xy Plane Deter 2 (13.61 KiB) Viewed 35 times

For every non-zero value of p the function fp​(x)=p⋅x4−6⋅p⋅x2−5 has two inflection points P1​,P2​ in the xy-plane. Determine the coordinates of P1​ and P2​ Give your answer as a list [x,y]. The point P1​ should be to the left of P2​. P1​=[,] P2​=[1]
Let l denote the line through P1​ and P2​. Determine the value for p for which the y-value of the intersection l with the y-axis is equal to y=10. Aside, you can add a note explaining the strategy for solving this exercise even if you did not manoge to solve the previous one.