$\"\"$

Given that sum of the two numbers is $\"\"$ and product is 42.

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

$\"\"$ (The product of two numbers is 42)

$\"\"$ (Distributive property)

$\"\"$ (Add $\"\"$ 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 $\"\"$ .

The original equation has real solutions.

Therefore the two real numbers are $\"\"$ and $\"\"$ .

$\"\"$

The quadratic equation is $\"\"$ .

The graph of the quadratic equation is

$\"graph$

The two real numbers having sum $\"\"$ and product 42 are $\"\"$ and $\"\"$ .