Question

Me ajudaa!! resolva a equaçao do 2°grau em {R} (2x+1)²-5(2x+1)+4

Answer 1

(2x+1) = y

Reescrevendo:

y² - 5y + 4 = 0
Δ = (-5)² - 4.1.4
Δ  = 25 - 16 = 9

y = -(-5 +/- √9)/2.1

y1 = (+5 + 3)/2 = 8/2 = 4
y2 = (+5 - 3)/2 = 2/2 = 1

(2x+1) = y
2x + 1 = 4
2x = 3
x = 3/2

2x + 1 = 1
2x = 0 
x = 0

Answer 2

(2x+1)2 -5(2x+1) +4

4x2 + 4x +1 -10x +(-5) +4
4x2 -6x =0
2x2 -3x =0
x (2x - 3) =0

x=0

Ou

2x-3=0
2x=3

x=3/2