The quadratic equation \(2\sqrt 2 {x^2} + 4x + \sqrt 2 = 0\), has ____

1.	The quadratic equation \(2\sqrt 2 {x^2} + 4x + \sqrt 2 = 0\), has ______1. real and different2. equal roots3. imaginary roots4. 3 roots
Answer» Correct Answer - Option 2 : equal roots Given: \(2\sqrt 2 {x^2} + 4x + \sqrt 2 = 0\) Formula used : D = b² - 4ac Calculation: D = 4² - 4 × 2√2 × √2 = 16 - 16 = 0 ⇒ D = 0, means equal roots ∴ The equation has equal roots.

The quadratic equation \(2\sqrt 2 {x^2} + 4x + \sqrt 2 = 0\), has ______1. real and different2. equal roots3. imaginary roots4. 3 roots

Answer» Correct Answer - Option 2 : equal roots

Given:

\(2\sqrt 2 {x^2} + 4x + \sqrt 2 = 0\)

Formula used :

D = b² - 4ac

Calculation:

D = 4² - 4 × 2√2 × √2 = 16 - 16 = 0

⇒ D = 0, means equal roots

∴ The equation has equal roots.

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The quadratic equation \(2\sqrt 2 {x^2} + 4x + \sqrt 2 = 0\), has ______1. real and different2. equal roots3. imaginary roots4. 3 roots

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