Question

18. Rezolvaţi ecuaţiile:
a) (x + 1)² + (x + 2)² - 2(x - 3)² = 5x²;
b) (x + 1)² + (x-2)(x + 3) = (x - 1)(x + 1);
c) (x-3)² + (x+4)²-(x - 5)² = 17(x + 1) + 7;
d) (x + 4)(x-1)-5(x-3)(x+2) = (x + 1)²-(x − 3)² -2;
e) (x + 5)(x-4) + 3(x − 3)(x+2) = (x + 2)² + 2(x+9)
f) (2x + 1)²-3(x+2)(x-2) = x(x+3) - (x²-15). ​

Answer 1

a) S={-1 -13/5} b) S={-4, 1} c) S={-3, 8} d) S={536}
e) S={-10/3, 6} f) S={-2, 1}