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Question

Factorize 5x2+8x+35=0 into the form 5x2+px+qx+35=0. What is the value of p2+q2 ?


A

9

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B

16

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C

25

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D

34

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Solution

The correct option is D

34


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.
So, p2+q2=34


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