SOLUTION: If one of the quadratic equation px^+15x-14=0 is 2/3 find the value of p and other root

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Question 1077628: If one of the quadratic equation px^+15x-14=0 is 2/3 find the value of p and other root
Found 2 solutions by amfagge92, josgarithmetic:
Answer by amfagge92(93)   (Show Source): You can put this solution on YOUR website!
Let x be the other root be x
sum of the roots =
2/3+x=-15/p
solving
2p + 3xp=-45 as eqn (i)

product of the root=
2/3*x=-14/p as eqn (ii)
gives
xp=-21
put xp in eqn (i)
2p +3(-21)=-45
2p-63=-45
p=9

hence,the other root is -7/3 using

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
r, the other root







substitute.






-
substitute for p to find r.




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