\"\"

\

Given that sum of the two numbers is 4 and product is \"\".

\

Let x  be a number and the other number is \"\".

\

\"\"                      (The product of two numbers is \"\")

\

\"\"                        (Distributive property)

\

\"\"    (Add 117 on each side)

\

\"\"

\

\"\"

\

Make a table for obtained function.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\ 		\

\"\"

\
\

\"\"

\

Draw the graph of the function \"\".

\

Draw a co-ordinate plane.

\

Plot the points.

\

Draw a smooth curve through this points.

\

\"graph

\

The graph has x-intercepts they are \"\" and 13.

\

The original equation has real solutions.

\

Therefore the possible two real numbers are \"\" and 13.

\

\"\"

\

The quadratic equation is  \"\".

\

The graph of the quadratic equation is

\

\"graph

\

The two real numbers are \"\" and 13.