Solve the quadratic equation 8x² - 14x + 3 = 0
(i) When x ∈ I (integers)
(ii) When x ∈ Q (rational numbers)

Question

Solve the quadratic equation 8x² - 14x + 3 = 0 (i) When x ∈ I (integers) (ii) When x ∈ Q (rational numbers)

KnowledgeBoat · Accepted Answer

Given, ⇒ 8x² - 14x + 3 = 0 ⇒ 8x² - 12x - 2x + 3 = 0 ⇒ 4x(2x - 3) - 1(2x - 3) = 0 ⇒ (4x - 1)(2x - 3) = 0 ⇒ 4x - 1 = 0 or 2x - 3 = 0 ⇒ 4x = 1 or 2x = 3 ⇒ x = or x = . (i) Since, there is no integer in the solution, Hence, no solution. (ii) Here, x ∈ Q Hence, x = .

Mathematics

Solve the quadratic equation 8x² - 14x + 3 = 0
(i) When x ∈ I (integers)
(ii) When x ∈ Q (rational numbers)

Quadratic Equations

Related Questions

If p - 15 = 0 and 2x² + px + 25 = 0; find the values of x.

Solve, using formula :
x² + x - (a + 2)(a + 1) = 0

Mathematics

Solve the quadratic equation 8x2 - 14x + 3 = 0(i) When x ∈ I (integers)(ii) When x ∈ Q (rational numbers)

Quadratic Equations

Related Questions

If p - 15 = 0 and 2x2 + px + 25 = 0; find the values of x.

Solve, using formula :x2 + x - (a + 2)(a + 1) = 0

Solve the quadratic equation 8x² - 14x + 3 = 0
(i) When x ∈ I (integers)
(ii) When x ∈ Q (rational numbers)

If p - 15 = 0 and 2x² + px + 25 = 0; find the values of x.

Solve, using formula :
x² + x - (a + 2)(a + 1) = 0