Solver Solver Title

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Quadratics: solvers

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This Solver (Solver Title) was created by by THANApHD(104)

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==section input
A Quadratic equation would looks like  {{{ax^2+bx+c = 0 }}}

a = *[input a=1]   where "a" can not be 0
  b = *[input b=4]
  c = *[input c=2]

And they will ask you to solve for x. Most of the time there will be 2 solutions for x.
 
==section solution
$b
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

{{{x = (-$b + sqrt($b^2-4*$a*$c))/(2*$a)) }}}  OR  {{{x = (-$b - sqrt($b^2-4*$a*$c))/(2*$a) }}}

{{{x = (*[assign k=-$b] $k + sqrt(*[assign d=$b*$b] $d-*[assign m=4*$a*$c] $m))/(*[assign 2a=2*$a] $2a) }}}                              OR        {{{x = (*[assign k=-$b] $k - sqrt(*[assign d=$b*$b] $d-*[assign m=4*$a*$c] $m))/(*[assign 2a=2*$a] $2a)) }}}

{{{x = (*[assign k=-$b] $k + sqrt(*[assign v=$d-$m] $v))/(*[assign 2a=2*$a] $2a)) }}}   OR   {{{x = (*[assign k=-$b] $k - sqrt(*[assign v=$d-$m] $v))/(*[assign 2a=2*$a] $2a)) }}}

{{{x = (*[assign k=-$b] $k + *[assign h=($v)^(0.5)] $h) /(*[assign 2a=2*$a] $2a)) }}}    OR   {{{x = (*[assign k=-$b] $k - *[assign h=($v)^(0.5)] $h) /(*[assign 2a=2*$a] $2a)) }}}

{{{x = *[assign p=$k+$h] $p/($2a)]  }}}    OR       {{{x = *[assign w=$k-$h] $w/($2a)]  }}}

{{{x = *[assign l=$p/$2a] $l }}}         OR         {{{x = *[assign j=$w/$2a] $j }}}
==section output

==section check
  a=1 b=2 c=1    x=-1