Question

Find all values of the variable

for which the rational expression is undefined.
3x+7/x^2+5x-50
x=?

Answer 1

Answer: x = -10 and x = 5

Explanation:

To find the values of the variable for which the rational expression is undefined, you need to identify the values that would make the denominator equal to zero. In this case, the denominator is x^2 + 5x - 50. So, set the denominator equal to zero and solve for x:

x^2 + 5x - 50 = 0

Now, you can factor the quadratic equation:

(x + 10)(x - 5) = 0

Set each factor equal to zero:

x + 10 = 0

x = -10

x - 5 = 0

x = 5

So, the values of the variable x for which the rational expression 3x + 7 / (x^2 + 5x - 50) is undefined are x = -10 and x = 5. These values make the denominator equal to zero, and division by zero is undefined in mathematics.