<PRE><B>Question 457607</B>
5 = 5x^2 - 14x - 29
:
5x^2 - 14x - 29 - 5 = 0
:
5x^2 - 14x - 34 = 0
:
Use the quadratic formula to find x
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
In this problem a=5, b=-14, c=-34
{{{x = (-(-14) +- sqrt(-14^2-4*5*-34 ))/(2*5) }}}
:
{{{x = (14 +- sqrt(196+680 ))/10 }}}
:
{{{x = (14 +- sqrt(876 ))/10 }}}
Two solutions
{{{x = (14 + 29.5973)/10 }}}
x = {{{43.5973/10}}}
x = 4.34973
and
{{{x = (14 - 29.5973)/10 }}}
x = {{{(-15.5973)/10}}}
x = -1.5973</PRE>