2x2 + 350 = 12x + 340 হলে x = কত?

A 5

B 4

C 8

D 2

Solution

Correct Answer: Option A

2x2 + 350 = 12x + 340 
⇒ 2x2 - 12x + 350 - 340 = 0
⇒ 2x2 - 12x + 10 =0 
⇒ 2(x2 - 6x + 5) = 0
⇒ x2 - 6x + 5 = 0
⇒ x2 - 5x - x + 5 = 0
⇒ x(x - 5) - 1(x - 5) = 0
(x - 5)(x - 1) = 0

হয়,
x - 5 = 0
x = 5

অথবা, 
x - 1 = 0
x = 1

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