Question 449352

{{{5x^2+5=-13x}}}


{{{5x^2+13x+5=-13x+13x}}}

{{{5x^2+13x+5=0}}}...now use quadratic formula...notice that {{{a=5}}}, {{{b=13}}} and {{{c=5}}}


{{{x = (-13 +- sqrt( 13^2-4*5*5 ))/(2*5) }}} 


{{{x = (-13 +- sqrt( 169-100 ))/10 }}} 


{{{x = (-13 +- sqrt( 69))/10 }}} 


{{{x = (-13 +- 8.3)/10 }}} 


solutions:

{{{x = (-13 +8.3)/10 }}} 
{{{x = -4.7/10 }}} 
{{{x = -0.47 }}} 

or

{{{x = (-13 -8.3)/10 }}} 
{{{x = -21.3/10 }}} 
{{{x = -2.13}}} 

let's see a graph:

{{{ graph( 500, 500, -10, 10, -10, 10, 5x^2+13x+5) }}}