Solve the following equation by factorization: 3x2 + 11x + 10 = 0, when x ∈ I

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ 3x2 + 11x + 10 = 0 ⇒ 3x2 + 6x + 5x + 10 = 0 ⇒ 3x(x + 2) + 5(x + 2) = 0 ⇒ (3x + 5)(x + 2) = 0 ⇒ 3x + 5 = 0 or x + 2 = 0 [Using Zero-product rule] ⇒ 3x = -5 or x = -2 ⇒ x = or x = -2. Since, x ∈ I x = -2 Hence, x = {-2}.

Mathematics

Solve the following equation by factorization:
3x² + 11x + 10 = 0, when x ∈ I

Quadratic Equations

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2x² - 9x + 10 = 0, when (i) x ∈ N (ii) x ∈ Q.

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4x² - 9x - 100 = 0, when x ∈ Q

Mathematics

Solve the following equation by factorization:3x2 + 11x + 10 = 0, when x ∈ I

Quadratic Equations

Related Questions

Solve the following equation by factorization:2x2 - 9x + 10 = 0, when (i) x ∈ N (ii) x ∈ Q.

Solve the following equation by factorization:4x2 - 9x - 100 = 0, when x ∈ Q

Solve the following equation by factorization:
3x² + 11x + 10 = 0, when x ∈ I

Solve the following equation by factorization:
2x² - 9x + 10 = 0, when (i) x ∈ N (ii) x ∈ Q.

Solve the following equation by factorization:
4x² - 9x - 100 = 0, when x ∈ Q