$\"\"$

The solutions of a quadratic equation $\"\"$ can be classified as follows.

If the discriminant $\"\"$ is

1. positive, then the quadratic equation has two distinct real solutions and and its graph has two x - intercepts.

2. zero, then the quadratic equation has one repeated real solution and its graph has one x - intercept.

3. negative, then the quadratic equation has no real solutions and its graph has no x - intercepts.

$\"\"$

The quadratic equation is $\"\"$ .

The general form of the quadratic equation is $\"\"$ .

The discriminant formula is $\"\"$ .

Consider $\"\"$ .

Compare it with general form.

$\"\"$ .

Substitute the values of $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

Since the discriminant is zero, the quadratic equation has one repeated solution and its graph has one x - intercept. $\"\"$

The quadratic equation has one repeated solution.