Question 874921
Those are two very simple problems, and one interesting problem.


(1)
x and y.
x+y=13 and xy=40.  Solve for x and y.  You will use a quadratic equation.


(2)
x and y.
2x+2y=38 and xy=94.  Solve for x and y.  You will use a quadratic equation.


(3)
Very interesting.
{{{10t^2+7t-12=0}}}
{{{t=(-7+- sqrt(49+4*10*12))/(2*10)}}}
{{{t=(-7+- sqrt(529))/(2*10)}}}
{{{t=(-7+- 23)/20}}}
{{{highlight_green(t=-3/2)}}}  OR  {{{highlight_green(t=16/20=4/5)}}}.
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Question asks for additive inverses of those roots to be roots in another equation, and to give that equation.  "Form the equation...".
{{{highlight((y-3/2)(y+4/5)=0)}}}, this will serve.
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Note, its roots are {{{3/2}}} and {{{-4/5}}}, which are the additive inverses of the given equation in the question.