Question 66772
Let's solve the equation to find out what the roos are:
{{{-2x^2-9x-4 = 0}}} Divide both sides by -1 to facilitate solving.
{{{2x^2+9x+4 = 0}}} Factor the left side.
{{{(2x+1)(x+4) = 0}}} Apply the zero product principle.
{{{2x+1 = 0}}} and/or {{{x+4 = 0}}}
If {{{2x+1 = 0}}} then {{{2x = -1}}} and {{{x = -1/2}}}
If {{{x+4 = 0}}} the {{{x = -4}}}
So the roots are:
{{{x = -1/2}}} and {{{x = -4}}}
The product of these roots is: {{{(-1/2)(-4) = 2}}}
The sum of these roots is: {{{(-1/2)+(-4) = -9/2}}}