(v) pq=-6 and p+q=-5
Answers
Answer:
p × q = 6 ….. (1)
p + q = - 5 ……(2)
From equation (2), put q = - 5 - p in equation (1)
p × ( - 5 - p) = 6
- 5p - [math]p^2[/math] = 6
[math]p^2[/math] + 5p + 6 = 0
It is a quadratic equation which can be solved by factorisation method.
[math]p^2[/math] + 3p + 2p + 6 = 0
p ( p +3) + 2 ( p + 3) =0
(p + 3) ( p + 2) =0
p = - 3, - 2
If p = - 3, then q = - 5 - (-3) = - 5 +3 = - 2.
If p= - 2, then q = - 5 - (-2) = - 5 + 2 = - 3
#hope it help you
Answer:
p × q = -6 ….. (1)
p + q = - 5 ……(2)
From equation (2), put q = - 5 - p in equation (1)
p × ( - 5 - p) = -6
- 5p -p² = -6
p² + 5p -6 = 0
It is a quadratic equation which can be solved by middle splitting method.
p²-p +6p- 6 = 0
p ( p-1) + 6 ( p-1) =0
(p + 6) ( p-1) =0
p = -6 and p=1
IF p=-6 & IF p=1
then , & then
q=1 & q=-6
#hope it help you
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Step-by-step explanation: