Resolver
Hallar valor de X
7x - 2 / 3 = 5x + 1 / 2
2 / 5x - 2 / 3 = x - 1 / 5
(x - 3) / 2 + (3x + 1) / 2 = 1
√(3) / 2x - x = √(3) / 2x + 2
2 / x + 3 / x = 1 / 2
2 / x - 1 + 2 / x + 2 = 1
Solución
7x - 2 / 3 = 5x + 1 / 2
7x - 5x = 1 / 2 + 2 / 3
2x = (3 + 4) / 6
2x = 7 / 6
x = 7 / 12
2 / 5x - 2 / 3 = x - 1 / 5
2 / 5x = x - 1 / 5 + 2 / 3
2 = 5x (x - 1 / 5 + 2 / 3)
2 = 5x² - x + 10x / 3
5x² - x + 10x / 3 - 2 = 0
(15x² - 3x + 10x ) / 3 = 0
15x² + 7x = 0
x₁ = - 7 / 15
x₂ = 0
(x - 3) / 2 + (3x + 1) / 2 = 1
(x - 3 + 3x + 1) / 2 = 1
(4x - 2) / 2 = 1
2x - 1 = 1
2x = 2
x = 1
((√3) / 2)x - x = (√(3) / 2)x + 2
((√3) / 2)x - (√(3) / 2)x - x = 2 - x = 2
x = - 2
2 / x + 3 / x = 1 / 2
(2 + 3) / x = 1 / 2
5 = x / 2
x = 5 / 2 = 2, 5
2 / x - 1 + 2 / x + 2 = 1
2 / x - 1 = 1 - 2 / x + 2
2 = (1 - 2 / x + 2) (x - 1)
2 = x - 2x / (x + 2) - 1 + 2 / x + 2
3 = x - 2x / (x + 2) + 2 / (x + 2)
(3x + 6) / (x + 2) = (x² + 2x - 2x + 2) / (x + 2)
3x + 6 = x² + 2x - 2x + 2
0 = x² + 2 - 6 - 3x
x² - 3x - 4 = 0
x₁ = - 1
x₂ = 4
Para saber más sobre ecuaciones : brainly.
Lat / tarea / 7002982.