Algebra 2

Algebra Level pending

What is the discriminant of the graph $y\quad =\quad { x }^{ 2 }+3x+8$ ?

1 solution

Dominick Hing
Sep 28, 2014

The discriminant of a quadratic equation is always

${{ b }^{ 2 }-4ac }$

In this case this would be

${ 3 }^{ 2 }-4(1)(8)$ .

or - 23. The solutions to any quadratic equation would be

$\frac { -b\pm \sqrt [ 2 ]{ { b }^{ 2 }-4ac } }{ 2a }$

The discriminant is the part that is under the radical sign. Note that the discriminant does not include the radical sign