Question

Solve the following quadratic equations by factorization:

Answer 1

Answer:

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.

⇒ ax2 + a – a2x – x = 0

⇒ ax2 – x(a2 + 1) + a = 0

⇒ ax(x – a) – 1(x – a) = 0

⇒ (ax – 1)(x – a) = 0

⇒ x = 1/a, a

Answer 2

Answer:

Step-by-step explanation:

ax2 + a – a2x – x = 0

ax2 – x(a2 + 1) + a = 0

ax(x – a) – 1(x – a) = 0

(ax – 1)(x – a) = 0

x = 1/a, a