Solve the following equation: 6/x - 2/x - 1 = 1/x - 2

Question

KnowledgeBoat · Accepted Answer

Given, . On taking L.C.M., ⇒ (x - 2)[6x - 6 - 2x] = x(x - 1) ⇒ (x - 2)(4x - 6) = x(x - 1) ⇒ 4x² - 6x - 8x + 12 = x² - x ⇒ 4x² - x² - 6x - 8x + x + 12 = 0 ⇒ 3x² - 13x + 12 = 0 ⇒ 3x² - 9x - 4x + 12 = 0 ⇒ 3x(x - 3) - 4(x - 3) = 0 ⇒ (3x - 4)(x - 3) = 0 ⇒ 3x - 4 = 0 or x - 3 = 0 ⇒ 3x = 4 or x = 3 ⇒ x = or x = 3. Hence, roots of the given equations are , 3.

Mathematics

Solve the following equation: 6/x - 2/x - 1 = 1/x - 2

Quadratic Equations

Related Questions

Solve the following equation:
3x² - 4x - 4 = 0

Solve the following equation:
2x² + 7x + 6 = 0

Mathematics

Solve the following equation: 6/x - 2/x - 1 = 1/x - 2

Quadratic Equations

Related Questions

Solve the following equation:3x2 - 4x - 4 = 0

Solve the following equation:2x2 + 7x + 6 = 0

Solve the following equation:
3x² - 4x - 4 = 0

Solve the following equation:
2x² + 7x + 6 = 0