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the sum of the roots are equal to
the product of the roots are equal to
the standard form of the quadratic equation is
your equation is:
subtract from both sides of the equation to get:
this equation is now in standard form of where:
sum of the roots are which becomes
since sum of the roots is equal to , this means that
solve for
multiply both sides of this equation by to get:
subtract from both sides of this equation to get:
divide both sides of this equation by to get:
that should be the value of
check if that works:
when ,
then your equation becomes:
subtract from both sides of this equation to get:
divide both sides of this equation by to get:
we can use the formula of sum of the roots => to get
let's find the roots to see if the formula gave us the right answer.
the roots of this equation are:
