Determine whether x = -1/3 and x = 2/3 are the solutions of the equation 9x^2 - 3x - 2 = 0.

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ 9x2 - 3x - 2 = 0 ⇒ 9x2 - 6x + 3x - 2 = 0 ⇒ 3x(3x - 2) + 1(3x - 2) = 0 ⇒ (3x + 1)(3x - 2) = 0 ⇒ 3x + 1 = 0 or 3x - 2 = 0 [Using Zero-product rule] ⇒ 3x = -1 or 3x = 2 ⇒ x = or x = . Hence, are the solutions of the equation 9x2 - 3x - 2 = 0.

Mathematics

Determine whether x = -1/3 and x = 2/3 are the solutions of the equation 9x^2 - 3x - 2 = 0.

Quadratic Equations

Related Questions

Solve the following equation by factorization:
16x² = 25

Solve the following equation by factorization:
x² + 2x = 24

Solve the following equation by factorization:
x² - x = 156

Mathematics

Determine whether x = -1/3 and x = 2/3 are the solutions of the equation 9x^2 - 3x - 2 = 0.

Quadratic Equations

Related Questions

Solve the following equation by factorization:16x2 = 25

Solve the following equation by factorization:x2 + 2x = 24

Solve the following equation by factorization:x2 - x = 156

Solve the following equation by factorization:
16x² = 25

Solve the following equation by factorization:
x² + 2x = 24

Solve the following equation by factorization:
x² - x = 156