Encuentre el valor de x en las proporciones siguientes : (3 - x) : (x + 1) = 2 : 1 (x + 3) : 10 = (3x - 2) : 8 (x - 1) : (x + 1) = (2x - 4) : (x + 4).
1) (3 - X) / (X + 1) = 2 / 1 1(3 - X) = 2(X + 1) 3 - X = 2X + 2 3 - 2 = 2X + X 1 = 3X 1 / 3 = X X = 1 / 3
2) (X + 3) / 10 = (3X - 2) / 8 8(X + 3) = 10(3X - 2) 8X + 24 = 30X - 20 24 + 20 = 30X - 8X 44 = 32X 44 / 32 = X 11 / 8 = X X = 11 / 8
3) (X - 1) / (X + 1) = (2X - 4) / (X + 4) (X - 1)(X + 4) = (2X - 4)(X + 1)
[X ^ (2)] + 4X - X - 4 = [2X ^ (2)] + 2X - 4X - 4
[X ^ (2)] + 3X - 4 = [2X ^ (2)] - 2X - 4 3X + 2X = [2X ^ (2)] - [X ^ (2)] - 4 + 4 5X = [X ^ (2)] 5 = [X ^ (2)] / X 5 = X X = 5.
14 / 7 = 30 / 7 14÷7 = 2 15×2 = 30 X = 30.
Respuesta : x = 0Explicación paso a paso : (x + 3) / (x + 2) = 3 / 22(x + 3) = 3(x + 2)2x + 6 = 3x + 62x - 3x = 6 - 6 - x = 0x = 0.
Respuesta : x = 25 / 14 = 1. 786Explicación paso a paso : * Los dos puntos : indican división. x = 25 / 14 = 1. 786.