Question

Sum of two numbers is 42 and the product is 437 find the absolute difference between the two numbers

Answer 1

let nos be a & b
a+b=42 ab=437
a=42-b substitute this in ab=437
and solve the equation u get..u will get the numbers 23&19
The absolute difference between them is 23-19=4

Answer 2

Answer:

Method:

Sum=42

Product=437

Let x +y=42

y=42-x _1

Then,x×y=437

x(42-x)=437 (from _1)

42x-x^2=437

x^2-42x+437=0

Now,

a=1

b=42

c=437

x=(-b+or-√b^2-4ac)/2a

=(-42+or-√42^2-4×1×437)/2

=(-42+-√1764-1748)/2

=(-42+-√16)/2

=(-42+-4)/2

=(-46/2) or. (-38/2)

x=-23or x=-16

y=42-x

=42+23 or42+16

y =65 or 58

The difference is 42