\"\"

\

Given that sum of the two numbers is 12 and product is \"\".

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

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

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\"\"                     (Distributive property)

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\"\"      (Add 84 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  no x-intercepts.

\

The original equation has no real solutions.

\

Therefore it is not possible for any two real numbers having sum 12 product \"\".

\

\"\"

\

The quadratic equation is\"\" .

\

The graph of the quadratic equation is

\

\"graph

\

It is not possible for any two real numbers having sum 12 and product \"\".