Question

Si m2x-3=m
Hallar: x²+x+1​

Answer 1

Explicación paso a paso:

m2x - 3 = m

m2x - m = 3

m(2x - 1)= 3

2x-1 = 3/m

2x= 3/m + 1

2x = (3+m)/m

x = (3+m)/2m

((3+m)/2m)²+((3+m)/2m)+1 = ?

= ((9+6m+m²)/4m²)+((3+m)/2m) +1

=((9+6m+m²)/4m²)+((3+m)2m)/4m²+(4m²/4m²)

=((9+6m+m²)/4m²)+((6m+2m²/4m²)+(4m²/4m²)

=(9+6m+m²+6m+2m²+4m²)/4m²)

=(7m²+12m+9)/4m²

=7/4 + 12/m + 9/4m²

Espero no equivocarme, saludos.