SOLUTION: Find any value of the variable that make the expression undefined. Problem 1# x^2+8x+15 / x^2+9x+18 Problem 2# 4x+1 / x^2-5x+6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find any value of the variable that make the expression undefined. Problem 1# x^2+8x+15 / x^2+9x+18 Problem 2# 4x+1 / x^2-5x+6       Log On


   



Question 1004101: Find any value of the variable that make the expression undefined.
Problem 1# x^2+8x+15 / x^2+9x+18
Problem 2# 4x+1 / x^2-5x+6

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52851) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find any value of the variable that make the expression undefined.
Problem 1# x^2+8x+15 / x^2+9x+18
Problem 2# 4x+1 / x^2-5x+6
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1) %28x%5E2%2B8x%2B15%29%2F%28x%5E2%2B9x%2B18%29.     x = -6 and x =-3  make the denominator equals zero and the ratio indefinite.

2) %284x%2B1%29%2F%28x%5E2-5x%2B6%29.     x = 2  and  x = 3  make the same.

You simply need to find zeroes of denominators.



Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Find any value of the variable that make the expression undefined.
Problem 1# x^2+8x+15 / x^2+9x+18
Problem 2# 4x+1 / x^2-5x+6
%28x%5E2+%2B+8x+%2B+15%29%2F%28x%5E2+%2B+9x+%2B+18%29
1) Set denominator equal to 0, and determine values for x
2) Values of x will NOT BE PART of the solution set for x, as they will make the expression undefined
3) You should get values that make the expression undefined as: highlight_green%28system%28x+=+-+6%2Cx+=+-+3%29%29
Problem 2# 4x+1 / x^2-5x+6
%284x+%2B+1%29%2F%28x%5E2+-+5x+%2B+6%29
1) Set denominator equal to 0, and determine values for x
2) Values of x will NOT BE PART of the solution set for x, as they will make the expression undefined
3) You should get values that make the expression undefined as: highlight_green%28system%28x+=+2%2Cx+=+3%29%29