Question

6) 2√2 (√2-1) = 3√2(x+1)+2x​

Answer 1

Răspuns:

x = (11√2-19)/7

Explicație pas cu pas:

2√2 (√2-1) = 3√2(x+1)+2x <=>

2√2·√2-2√2 = 3√2·x + 3√2 + 2x <=>

4-2√2 -3√2 = 3√2·x + 2x =>

4-5√2 = x(2+3√2) =>

x = (4-5√2)/(2+3√2) =>

x = (4-5√2)(2-3√2)/[(2+3√2)(2-3√2)] =>

x = (8-22√2+30)/(4-18) =>

x = (38-22√2)/(-14) =>

x = (11√2-19)/7