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

Given, ⇒ 4x2 - 9x - 100 = 0 ⇒ 4x2 + 16x - 25x - 100 = 0 ⇒ 4x(x + 4) - 25(x + 4) = 0 ⇒ (4x - 25)(x + 4) = 0 ⇒ 4x - 25 = 0 or x + 4 = 0 [Using Zero-product rule] ⇒ 4x = 25 or x = -4 ⇒ x = or x = -4 Since, x ∈ Q Hence, x = .

Solve the following equation by factorization:
6x(3x - 7) = 7(7 - 3x)

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

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

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Mathematics

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

Quadratic Equations

Related Questions

Solve the following equation by factorization:
6x(3x - 7) = 7(7 - 3x)

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

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

Mathematics

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

Quadratic Equations

Related Questions

Solve the following equation by factorization:6x(3x - 7) = 7(7 - 3x)

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

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

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

Solve the following equation by factorization:
6x(3x - 7) = 7(7 - 3x)

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

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