Solve the following equation by factorization:
5x² - 12x - 9 = 0, when (i) x ∈ I (ii) x ∈ Q

Question

Solve the following equation by factorization: 2x2 - 11x + 15 = 0, when (i) x ∈ N (ii) x ∈ I

KnowledgeBoat · Accepted Answer

Given, ⇒ 2x2 - 11x + 15 = 0 ⇒ 2x2 - 6x - 5x + 15 = 0 ⇒ 2x(x - 3) - 5(x - 3) = 0 ⇒ (2x - 5)(x - 3) = 0 ⇒ (2x - 5) = 0 or (x - 3) = 0 [Using Zero-product rule] ⇒ 2x = 5 or x = 3 ⇒ x = or x = 3. (i) Since, x ∈ N Hence, x = {3}. (ii) Since, x ∈ I Hence, x = {3}.

Mathematics

Solve the following equation by factorization:
2x² - 11x + 15 = 0, when (i) x ∈ N (ii) x ∈ I

Quadratic Equations

Related Questions

Solve the following equation by factorization:
4x² - 4ax + (a² - b²) = 0, where a, b ∈ R.

Solve the following equation by factorization:
5x² - 12x - 9 = 0, when (i) x ∈ I (ii) x ∈ Q

Mathematics

Solve the following equation by factorization:2x2 - 11x + 15 = 0, when (i) x ∈ N (ii) x ∈ I

Quadratic Equations

Related Questions

Solve the following equation by factorization:4x2 - 4ax + (a2 - b2) = 0, where a, b ∈ R.

Solve the following equation by factorization:5x2 - 12x - 9 = 0, when (i) x ∈ I (ii) x ∈ Q

Solve the following equation by factorization:
2x² - 11x + 15 = 0, when (i) x ∈ N (ii) x ∈ I

Solve the following equation by factorization:
4x² - 4ax + (a² - b²) = 0, where a, b ∈ R.

Solve the following equation by factorization:
5x² - 12x - 9 = 0, when (i) x ∈ I (ii) x ∈ Q