Solve the following equation: 8/x + 3 - 3/2 - x = 2

Question

KnowledgeBoat · Accepted Answer

Given, . Taking L.C.M. we get, By cross multiplication we get, ⇒ 8(2 - x) - 3(x + 3) = 2(x + 3)(2 - x) ⇒ 16 - 8x - 3x - 9 = 2(2x - x² + 6 - 3x) ⇒ 7 - 11x = 2(6 - x - x²) ⇒ 7 - 11x = 12 - 2x - 2x² ⇒ 2x² - 11x + 2x + 7 - 12 = 0 ⇒ 2x² - 9x - 5 = 0 ⇒ 2x² - 10x + x - 5 = 0 ⇒ 2x(x - 5) + 1(x - 5) = 0 ⇒ (2x + 1)(x - 5) = 0 ⇒ 2x + 1 = 0 or x - 5 = 0 ⇒ 2x = -1 or x = 5 ⇒ x = or x = 5. Hence, roots of the given equations are , 5.

Mathematics

Solve the following equation: 8/x + 3 - 3/2 - x = 2

Quadratic Equations

Related Questions

Which of the following is not a quadratic equation :
2x² = 3x - 5
(2x - 1)(x - 1) = 2x² - 7x + 2
(2x - 1)(x + 2) = (x - 1)(x + 1)
(x + 1)³ = x³ + 2x + 2

Mathematics

Solve the following equation: 8/x + 3 - 3/2 - x = 2

Quadratic Equations

Related Questions

Which of the following is not a quadratic equation :2x2 = 3x - 5(2x - 1)(x - 1) = 2x2 - 7x + 2(2x - 1)(x + 2) = (x - 1)(x + 1)(x + 1)3 = x3 + 2x + 2

Which of the following is not a quadratic equation :
2x² = 3x - 5
(2x - 1)(x - 1) = 2x² - 7x + 2
(2x - 1)(x + 2) = (x - 1)(x + 1)
(x + 1)³ = x³ + 2x + 2