Question

pq = 32 and p+q=-12​

Answer 1

Answer:

Determine = pq=32 p+q=12

The value of p = 8 or 4 and q = 4 or 8 respectively.

Step-by-step explanation:

As per the question,

given is

p + q = 12 and pq = 32

Now the solution is,

pq = 32

q = \frac{32}{p}

Substitute this value of q in p + q = 12

That is,

p + q =12

p + \frac{32}{p} =12

p^{2}-12p+32=0

(p-8)(p-4)=0

That is (p-8) =0

or (p-4) =0

∴p = 8 or p = 4

When p = 8 ,

p + q = 12

⇒8 + q = 12

⇒q = 12 - 8

⇒q = 4

When p = 4,

p + q = 12

⇒4 + q = 12

⇒q = 12 - 4

⇒q = 8

Therefore, the value of p = 8 or 4 and q = 4 or 8 respectively.

Answer 2

-4 and-8 is the answer to your question