Find the roots of equation, x2 – 4√2x + 6 = 0.1. -√2, -3√22. �

1.	Find the roots of equation, x2 – 4√2x + 6 = 0.1. -√2, -3√22. √2, 2√33. √3, -3√24. √2, 3√2
Answer» Correct Answer - Option 4 : √2, 3√2 Given: x² – 4√2x + 6 = 0 Concept used: By using factorization method (Middle term split) Calculation: x² – 4√2x + 6 = 0 ⇒ x² – 3√2x – √2x + 6 = 0 ⇒ x(x – 3√2) – √2(x – 3√2) = 0 ⇒ (x – 3√2)(x – √2) = 0 ⇒ (x – 3√2) = 0 or (x – √2) = 0 ⇒ x = 3√2 or x = √2 ∴ The roots of equation is √2 and 3√2.

Find the roots of equation, x2 – 4√2x + 6 = 0.1. -√2, -3√22. √2, 2√33. √3, -3√24. √2, 3√2

Answer» Correct Answer - Option 4 : √2, 3√2

Given:

x² – 4√2x + 6 = 0

Concept used:

By using factorization method (Middle term split)

Calculation:

x² – 4√2x + 6 = 0

⇒ x² – 3√2x – √2x + 6 = 0

⇒ x(x – 3√2) – √2(x – 3√2) = 0

⇒ (x – 3√2)(x – √2) = 0

⇒ (x – 3√2) = 0 or (x – √2) = 0

⇒ x = 3√2 or x = √2

∴ The roots of equation is √2 and 3√2.

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Find the roots of equation, x2 – 4√2x + 6 = 0.1. -√2, -3√22. √2, 2√33. √3, -3√24. √2, 3√2

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