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(X + 9) (X + 9) = (X + 10) (X - 7)
(X + 9)² = X² + 3X - 70
X² + 18X + 81 = X² + 3X -70
18X - 3X = - 70 - 81
15X = - 151
X = - 151/15
Aplicas productos notables.
(a + b)² = a² + 2ab + b²
(x + a)(x - b) = x² + (a - b)x + (a)(- b)
(x + 9)(x + 9) =(x + 10)(x - 7)
(x + 9)² = (x + 10)(x - 7)
x² + 2(x)(9) + 9² = x² + (10 - 7)x + (10)(-7)
x² + 18x + 81 = x² + 3x - 70 Simplificas x²
18x + 81 = 3x - 70
18x - 3x = - 70 - 81
15x = - 151
x = - 151/15
Respuesta.
x = - 151/15