Given that sum of the two numbers is
and product is
.
Let x be a number and the other number is
.
(The product of two numbers is
)
(Distributive property)
(Add
on each side)

Make a table for obtained function.
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Draw the graph of the function
.
Draw a co-ordinate plane.
\Plot the points.
\Draw a smooth curve through this points.
\=-x%5E2-15x+54.gif\")
The graph has x-intercepts they are
and 3.
The original equation has real solutions.
\Therefore the possible two real numbers are
and 3.
The quadratic equation is
.
The graph of the quadratic equation is
\=-x%5E2-15x+54.gif\")
The two real numbers are
and 3.