Solve 2x^2 - 9x + 10 = 0 when x ∈ N x ∈ Q

Question

KnowledgeBoat · Accepted Answer

2x² - 9x + 10 = 0 ⇒ 2x² - 4x - 5x + 10 = 0 ⇒ 2x(x - 2) - 5(x - 2) = 0 ⇒ (2x - 5)(x - 2) = 0 ⇒ 2x - 5 = 0 or x - 2 = 0 [Using Zero-product rule] ⇒ 2x = 5 or x = 2 ⇒ x = or x = 2. (i) Since, x ∈ N Hence, value of x = 2. (ii) Since, x ∈ Q Hence, value of x = or 2.

Mathematics

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

Quadratic Equations

Related Questions

Solve the following equation by factorisation:
(x + 1)(2x + 8) = (x + 7)(x + 3)

Solve the following equation by factorisation:
4(2x - 3)² - (2x - 3) - 14 = 0

Mathematics

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

Quadratic Equations

Related Questions

Solve the following equation by factorisation:(x + 1)(2x + 8) = (x + 7)(x + 3)

Solve the following equation by factorisation:4(2x - 3)2 - (2x - 3) - 14 = 0

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

Solve the following equation by factorisation:
(x + 1)(2x + 8) = (x + 7)(x + 3)

Solve the following equation by factorisation:
4(2x - 3)² - (2x - 3) - 14 = 0