Question 1060218
<pre><b><font size=4>
{{{6x^2-19x-7}}}{{{""=""}}}{{{0}}}

Compare to

{{{Ax^2+Bx+C}}}{{{""=""}}}{{{0}}}

A = 6, B = -19, C = -7

 {{{x}}}{{{""=""}}}{{{(-B +- sqrt(B^2-4AC))/(2A) }}}

Substitute:

{{{x}}}{{{""=""}}}{{{(-(-19) +- sqrt((-19)^2-4(6)(-7)))/(2(6)) }}} 

Simplify:

{{{x}}}{{{""=""}}}{{{(19 +- sqrt(361+169))/12 }}} 

Simplify some more:

{{{x}}}{{{""=""}}}{{{(19 +- sqrt(529))/12 }}} 

Simplify some more:

{{{x}}}{{{""=""}}}{{{(19 +- 23)/12 }}}

Use the +

{{{x}}}{{{""=""}}}{{{(19 + 23)/12 }}}

Siumplify:

{{{x}}}{{{""=""}}}{{{42/12 }}}

Reduce the fraction

{{{x}}}{{{""=""}}}{{{7/2 }}}

That's one solution.

Use the -

{{{x}}}{{{""=""}}}{{{(19 - 23)/12 }}}

Siumplify:

{{{x}}}{{{""=""}}}{{{(-4)/12 }}}

Reduce the fraction

{{{x}}}{{{""=""}}}{{{-1/3 }}}

That's the other solution.
 
Edwin</pre><b></font>