Question

find 2 numbers with sum 4 and profuct 2​

Answer 1

Answer:

Numbers are 2+√2 and 2-√2.

Step-by-step explanation:

Let, numbers are x and y .

Given that sum is 4 , x+y= 4

Product is 2 . xy =2

now x+y= 4

=> y = (4-x)

xy =2

=> x(4-x)=2

=> 4x-x²=2

=> x²-4x +2 =0

Compare with ax²+bx+c=0

a =1 , b = -4 , c=2

x = (-b±√(b²-4ac))/2a

=> x = (4±√(16-8))/2

=> x = (4±√8)/2

=> x = (4±2√2)/2

=> x = 2±√2

Numbers are 2+√2 and 2-√2.