SOLUTION: Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real roots,find q in terms of p
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Question 1184307
:
Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real roots,find q in terms of p
Answer by
MathLover1(20850)
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Given that the equation
,where
, has two equal real roots, find
in terms of
.
the equation has two equal real roots if discriminant is equal to zero
in your case
,
, and
...factor
solutions:
-> exclude because gien that
=>
=>
=>
.......substitute
.....both sides multiply by
check if discriminant is equal to zero:
=>true