Question 1157723

State any numbers for which each rational expression is undefined 

a. 
{{{(x-6)/(x+6 )}}}->rational expression is undefined  when the denominator is equal to zero

 To find the values that make a rational expression undefined, set the denominator equal to zero and solve the resulting equation.

{{{x+6=0}}}
{{{x=-6}}}


b.{{{( x^2-4) /(x^2-5x-14) }}}

{{{x^2-5x-14=0}}}

{{{x^2+2x-7x-14=0}}}

{{{(x^2+2x)-(7x+14)=0}}}

{{{x(x+2)-7(x+2)=0}}}

{{{(x - 7)(x + 2) = 0}}}

{{{x=7}}}
{{{x=-2}}}


c.

{{{(6x-5) /(2x^2+15x+27) }}}

{{{2x^2+15x+27= 0}}}

{{{2x^2+6x+9x+27= 0}}}

{{{(2x^2+6x)+(9x+27)= 0}}}

{{{2x(x+3)+9(x+3)= 0}}}

{{{(x + 3)(2x + 9) = 0}}}

{{{x=-3}}}
{{{x=-9/2 }}}