SOLUTION: State any numbers for which each rational expression is undefined a. x-6/x+6 b. x^2-4 /x^2-5x-14 c.6x-5/2x^2+15x+27

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: State any numbers for which each rational expression is undefined a. x-6/x+6 b. x^2-4 /x^2-5x-14 c.6x-5/2x^2+15x+27       Log On


   

Question 1157723: State any numbers for which each rational expression is undefined
a. x-6/x+6
b. x^2-4 /x^2-5x-14
c.6x-5/2x^2+15x+27
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

State any numbers for which each rational expression is undefined
a.
%28x-6%29%2F%28x%2B6+%29->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%2B6=0
x=-6

b.%28+x%5E2-4%29+%2F%28x%5E2-5x-14%29+
x%5E2-5x-14=0
x%5E2%2B2x-7x-14=0
%28x%5E2%2B2x%29-%287x%2B14%29=0
x%28x%2B2%29-7%28x%2B2%29=0
%28x+-+7%29%28x+%2B+2%29+=+0
x=7
x=-2

c.
%286x-5%29+%2F%282x%5E2%2B15x%2B27%29+
2x%5E2%2B15x%2B27=+0
2x%5E2%2B6x%2B9x%2B27=+0
%282x%5E2%2B6x%29%2B%289x%2B27%29=+0
2x%28x%2B3%29%2B9%28x%2B3%29=+0
%28x+%2B+3%29%282x+%2B+9%29+=+0
x=-3
x=-9%2F2+