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.
⇒ 3(x2 – 11x + 28) + 3(x2 – 11x + 30) = 10(x2 – 12x + 35)
⇒ 4x2 – 54x + 176 = 0
⇒ 2x2 – 27x + 88 = 0
⇒ 2x2 – 16x – 11x + 88 = 0
⇒ 2x(x – 8) – 11(x – 8) = 0
⇒ (2x – 11)(x – 8) = 0
⇒ x = 11/2, 8