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Question

Factorize 5 x2 + 8x + 35 = 0 into the form 5 x2 + px + qx +35 = 0.Find the value of p and q.


Solution

Multiply 5 with 35   and we get 15

 Pairs of 15 are

 1×15 = 15       sum  1+ 15 = 16

 5×3= 15       sum 5 + 3 = 8

So our required pair is 5 and 3

 5 x2 + 8x + 35 = 0

5 x2 + 5x + 3x +35 = 0

So, p = 5 and q = 3.​


Mathematics

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