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.
⇒ 30(x – 7 – x – 4) = 11(x + 4)(x – 7)
⇒ -330 = 11x2 – 308 – 33x
⇒ 11x2 – 33x + 22 = 0
⇒ x2 – 3x + 2 = 0
⇒ x2 – 2x – x + 2 = 0
⇒ x(x – 2) – (x – 2) = 0
⇒ (x – 1)(x – 2) = 0
⇒ x = 1, 2