Question

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

Answer 1

p + q = 1

pq = -20

p + (-20/p) = 1

p^2 -p -20 = 0

p^2 - 5p + 4p -20 = 0

p(p-5) + 4(p-5)

(p+4)(p-5) = 0

p = 5 , -4

p + q = 1

q = -4 , 5

hope it helped you

Answer 2

Answer:

The possible values of $p=5.-4$ and $q=-4,5$.

Step-by-step explanation:

It is given that $p,q$ are two numbers and sum of two numbers is given as $1$

$p+q=1$ ---(1)

and product of two numbers is given as $-20$

$pq=-20$ ---(2)

From second equation,

$q=20/p$

Using it in first equation

$p + (-20/p) = 1$

Simplifying, we get

$p^2 -p -20 = 0$

Splitting middle term gives

$p^2 - 5p + 4p -20 = 0$

Solving

$p(p-5) + 4(p-5)=0$

$(p+4)(p-5) = 0$

Hence, $p = 5 , -4$

and $q = -4 , 5$

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