Question

Valorile reale ale lui x : |2x-3|=11


Multimea solutiilor ecuatiei (x+1)^2-1=3

Answer 1

ptr. x > 3/2    x/(2x-3) = 11      x = 22x - 33     21x = 33   x =33/21 = 11/7
11/7 ÷ 1/7 = 11
ptr. x < 3/2    x/(3-2x) = 11      x = 33 - 22x      23x = 33  x = 33/23
33/23÷(3- 66/23) = 33/23·23/3 = 11
x² + 2x + 1 - 1 = 3      x² + 2x - 3 = 0    x² + 3x - x -3 = 0             x(x+3) -(x+3) = 0
(x+3)(x-1) = 0     x+3 = 0  x = - 3        x-1 = 0    x = 1