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Question
Solve the following equation by factorization:
3x2 + 8 = 10x
Sum
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Solution
Given,
⇒ 3x2 + 8 = 10x
⇒ 3x2 – 10x + 8 = 0
⇒ 3x2 – 6x – 4x + 8 = 0
⇒ 3x(x – 2) – 4(x – 2) = 0
⇒ (x – 2)(3x – 4) = 0
⇒ (x – 2) = 0 or (3x – 4) = 0 ...[Using zero-product rule]
⇒ x = 2 or 3x = 4
⇒ x = 2 or x = `4/3`
Hence, `x = {2, 4/3}`.
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