If 4x ^ 2 + 2mx + 1 is a complete square, what is the value of M

If 4x ^ 2 + 2mx + 1 is a complete square, what is the value of M


Δ=(2m)^2-4*4*1=0
2m=±4
m=±2



Given that 4x ^ 2-2mx + 1 is a complete square, then M=
-2mx
In the middle, it's 2mx


4x^2-2mx+1
When m = 2 or - 2
4X ^ 2-2mx + 1 = 4x ^ 2-4x + 1 or 4x ^ 2 + 4x + 1
It's the perfect square



If the sum of polynomial 8x ^ 2-x + 5 and polynomial 6x ^ 3 + 2mx ^ 2-4x + 1 does not contain quadratic term, then M is equal to


2m+8=0
m=-4

Elden Ring Premiere

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