Question

The sum of two numbers is 42 and their product is 437

Answer 1

a+b = 42 & ab=437= 19*23
Two numbers are 19 & 23

Answer 2

Answer:

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Step-by-step explanation:

let the first number be 'y',

and, the second number  be 'x'

now, according to question

x+y = 42

x=42-y               eq.1

now,

x × y = 437

putting the value from eq. 1,

y(42-y) = 437

⇒42y - y^2 = 437

⇒y^2-42y+437=0

⇒We can use quadratic equation   y = -b ±√(b^2-4ac)

                                                          2a

 

y = 42 ±√((-42)2-4(1)(437))

                   2

 

y = 21 ±(√(1764 - 1748))/2

 

y = 21 ±(√16)/2

 

y = 21 ± 4/2

 

y = 21 ± 2

 

y = 21 or 23

 

If y = 21 then x+21=42 and x=21

Check:  xy=437  ...   21(21) = 441.... no

 

If y = 23  then x+23 = 42,  x=19

Check:  xy=437 ...  23(19) = 437 .... Yes

 

Our answer:  x= 19, y = 23