Solve the following quadratic equations by factorization:
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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
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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
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