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Question

Find the roots of the following quadratic equations by the factorization method.
25x2x35=0

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Solution

Given equation is 25x2x35=0
On multiplying by 5 on both sides, we get
2x25x3=0
2x2(6xx)3=0 [by splitting the middle term]
2x2– 6x + x – 3 = 0
2x (x – 3) + 1 (x – 3) = 0
Now, x – 3 = 0 x = 3
and 2x + 1 = 0 x=12
Hence, the roots of the equation 2x25x3=0 are 12 and 3.

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