(X + 10)al cuadrado + (x + 8) al cuadrado - 2(x + 9)al cuadrado?

(x + 10)² + (x + 8)² = [ - 2(x + 9)]² x² + 2(x)(10) + 10² + x² + 2(x)(8) + 8² = 4[x² + 2(x)(9) + 9²] x² + 20x + 100 + x² + 16x + 64 = 4[x² + 18x + 81] 2x² + 36x + 164 = 4x² + 72x + 324 2x² + 36x + 160 = 0 x² + 18x + 80 = 0 (x + 8)(x + 10) = 0 x + 8 = 0 ó x + 10 = 0 x = - 8 x = - 10

Rpta : x = { - 10, - 8}.