Question

(2x+1)в квадрате - 64=0

Answer 1

1 способ
4x^2 + 4x + 1 - 64 = 0 
4x^2 + 4x  - 63 = 0 
D = 16 + 16*63 = 1024 = 32^2;
x1 = ( - 4 + 32)/8 = 3.5
x2 = ( - 4 - 32)/8 = - 4.5 

2 способ
(2x + 1 - 8) * (2x + 1 + 8) = 0
(2x - 7) * (2x + 9) = 0 
2x - 7 = 0 ==> x1 = 3.5;
2x + 9 = 0 ==> x2 = - 4.5