Question 1006634

{{{(x^2-36)/(x^2+11x+28)}}}

A fraction is said to be {{{undefined}}} (or have no meaning) when the {{{denominator = 0}}}.

{{{(x^2+11x+28)=0}}}..........solve for {{{x}}}

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

{{{x = (-11 +- sqrt( 11^2-4*1*28 ))/(2*1) }}}

{{{x = (-11 +- sqrt( 121-112 ))/2 }}}

{{{x = (-11 +- sqrt( 9 ))/2 }}}

{{{x = (-11 +- 3)/2 }}}

solutions:

{{{x = (-11 + 3)/2 }}}

{{{x = -8/2 }}}

{{{x = -4 }}}

or

{{{x = (-11 - 3)/2 }}}

{{{x = -14/2 }}}

{{{x = -7 }}}

the values {{{ -4 }}} and {{{-7 }}} for the variable will make the expression undefined