Question

If p and q are numbers and p+q =1 and pq= -20 What are the values of p and q

Answer 1

Answer:

See, p and q is the root of the equation x^2-3x+2=0

So now we will get, p+q=3 and pq=2

Now we have to find the value of

1/p - 1/q=(q-p) /pq

=√{(p+q)^2-4pq} /pq

=√(3^2-4*2)/2

=1/2

So the required value is 1/2

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Answer 2

Answer:

p=(5),q=(-4)

Step-by-step explanation:

p=1-q

pq=-20

So, q(1-q)=-20

$q-q^{2} +20=0\\\q^{2}-q-20=0\\ q^{2}-5q+4q-20=0\\q(q-5)+4(q-5)=0\\(q-5)(q+4)=0\\q=5,-4$