Question

The sum of two numbers is 5. If the product is - 50. What are the numbers?
Write a pair of integers whose sum is - 20.​

Answer 1

Answer:

x = 10,-5

y = -5,10

Step-by-step explanation:

Let the numbers be x , y

given:

x+y = 5

=> x = 5-y ---(1)

xy = -50  ---(2)

substituting 1 in 2 we get,

(5 - y)y = -50

$-y^{2} +5y +50 = 0\\y^{2} -5y-50=0$

splitting middle term we get,

$y^{2} -10y+5y-50=0\\y(y-10)+5(y-10)=0\\(y+5)(y-10)$

therefore the values of y are -5 , 10

substituting the values of y we get,

x = 10,-5

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