Question

Please solve this by Middle Term Splitting Method

Answer 1

Step-by-step explanation:

Given Equation is x² - 2√5x + 3 = 0

⇒ x² - 2√5x + 5 - 2 = 0

⇒ (x - √5)² - 2 = 0

⇒ (x - √5)² - (√2)² = 0

∴ a² - b² = (a + b)(a - b)

⇒ (x - √5 + √2)(x - √5 - √2) = 0

⇒ (x - √5 + √2) = 0, (x - √5 - √2) = 0

⇒ x = √5 - √2, x = √5 + √2

Hope it helps!