Solve the following quadratic equations by factorization:

In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.

⇒ x² - √2x – x + √2 = 0

⇒ x(x - √2) - (x - √2) = 0

⇒ (x – 1)(x - √2) = 0

⇒ x = 1, √2