$\"\"$

The sum of the two numbers is $\"\"$ and product is $\"\"$ .

Let $\"\"$ and $\"\"$ be a number.

Hence the sum of the two numbers is $\"\"$ such that the equation is $\"\"$ .

The product of the two numbers is $\"\"$ such that the equation is $\"\"$ .

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Distributive property)

$\"\"$ (Add $\"\"$ on each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

Consider the related function $\"\"$ .

The standard form of quadratic function $\"\"$ , where $\"\"$ .

$\"\"$ and $\"\"$ .

Find the axis symmetry.

The equation of the axis symmetry is $\"\"$ .

$\"\"$ (Substitute the values $\"\"$ and $\"\"$ )

$\"\"$ (Simplify)

The axis symmetry is $\"\"$ .

$\"\"$

Make a table using $\"\"$ values near $\"\"$ .

\ \

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

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

Graph:

Plot the points obtained in the table.

Graph the function $\"\"$ :

$\"\"$

Observe the graph:

The graph touches the $\"\"$ -axis at $\"\"$ and $\"\"$ .

Therefore, the solutions of the equation are $\"\"$ and $\"\"$ .

$\"\"$

The solutions of the equation are $\"\"$ and $\"\"$ .