Question

solve by factorization method:-x=3x+1 / 4x​

Answer 1

Answer:

x = -1/4 and 1

Step-by-step explanation:

x = (3x + 1)/4x

x × 4x = 3x + 1

4x² = 3x + 1

4x² - 3x - 1 = 0

4x² - (4 - 1)x - 1 = 0

4x² - 4x + x - 1 = 0

4x(x - 1).+1(x - 1) = 0

(4x + 1)(x - 1) = 0

4x +1 = 0 and x - 1 = 0

4x = -1 and x = 1

x = -1/4 and x = 1

Answer 2

x = (3x + 1)/4x

x × 4x = 3x + 1

4x² = 3x + 1

4x² - 3x - 1 = 0

4x² - (4 - 1)x - 1 = 0

4x² - 4x + x - 1 = 0

4x(x - 1).+1(x - 1) = 0

(4x + 1)(x - 1) = 0

4x +1 = 0 and x - 1 = 0

4x = -1 and x = 1

x = -1/4 and x = 1