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

Question

Solve the following equation by factorization:  5x^2 - 12x - 9 = 0, when (i) x ∈ I (ii) x ∈ Q

KnowledgeBoat · Accepted Answer

Given, ⇒ 5x2 - 12x - 9 = 0 ⇒ 5x2 - 15x + 3x - 9 = 0 ⇒ 5x(x - 3) + 3(x - 3) = 0 ⇒ (5x + 3)(x - 3) = 0 ⇒ (5x + 3) = 0 or (x - 3) = 0 [Using Zero-product rule] ⇒ 5x = -3 or x = 3 ⇒ x = or x = 3. (i) Since, x ∈ I Hence, x = {3}. (ii) Since, x ∈ Q Hence, x = .

Mathematics

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

Quadratic Equations

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Mathematics

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

Quadratic Equations

Related Questions

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

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

Solve the following equation by factorization:
3a²x² + 8abx + 4b² = 0, a ≠ 0

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

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