Question 111621
Given:
{{{x^2+xy+ay^2=b }}} 
{{{a=1}}}, {{{b=7}}},
 find the {{{x_ intercepts}}}.



{{{x^2 + xy + ay^2 = b }}} ………plug in {{{a=1}}}, {{{b=7}}},


{{{x^2 + y(x + y) = 7 }}}……..to find  {{{x_ intercepts}}} put {{{y=0}}}

So, you will have

{{{x^2 + x*0 +1*0^2 = 7 }}}……..

{{{x^2 = 7 }}}……..

{{{x = sqrt(7 )}}}……..

{{{x = (2.65)}}}

{{{x_ intercepts}}} are {{{2.65, 0}}} and {{{-2.65, 0}}} 


*[invoke solve_quadratic_equation 1, 0, -7]