Question

resolva a equação: (2x-1) (2x-1)= (x+5) (x+5)​

Answer 1

Explicação passo-a-passo:

(2x - 1) . ( 2x - 1) = ( x+5) . (x+5)

4x² - 2x - 2x + 1 = x² +5x +5x +25

4x² - 4x +1 = x² + 10x + 25

4x² - x² -4x - 10x + 1 - 25=0

3x² - 14x - 24=0

∆= (-14)² - 4.3.(-24)

∆= 196 + 288

∆= 484

x = - ( -14) ±√484/2.3

x = 14 ± 22/6

x1= 14 +22/6

x1= 36/6

x1= 6

x2= 14 - 22/6

x2= -8/6

x2= -4/3

S = { 6 , -4/3}