1. Decompose factor A ^ 4-3a ^ 2 + 2 in the range of real number 2. Try to prove: no matter m takes any real value, the value of the algebraic formula 3M ^ 2 + 4m + 5 is always greater than zero

1. Decompose factor A ^ 4-3a ^ 2 + 2 in the range of real number 2. Try to prove: no matter m takes any real value, the value of the algebraic formula 3M ^ 2 + 4m + 5 is always greater than zero

First question
a^4-3a^2+2=（a^2-1）（a^2-2）
Second question
3m^2+4m+5
=3（m^2+4/3 m）+5
=3（m^2+4/3 m+4/9）-4/3+5
=3（m+2/3）^2 +11/3
>0
So no matter m takes any real value, the value of the algebraic formula 3M ^ 2 + 4m + 5 is always greater than zero

Elden Ring Premiere

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