What is one value that makes the fraction (4x-8)/(x^2+x-42) undefined? Plz help me I'll mark brainliest! And plz explain how you did it plz ty!

Respuesta :

Answer:

x = 6

Step-by-step explanation:

To make a fraction undefined, the denominator would have to be equivalent to zero. If that is so, x^2 + x - 42 would have to equal 0, and we would have to solve for the value of x;

[tex]x^2 + x - 42 = 0,\\Factored Equation = \left(x-6\right)\left(x+7\right),\\\left(x-6\right)\left(x+7\right) = 0,\\\\Zero Factor Principle, \\x - 6 = 0, and, x + 7 = 0\\\\x = 6, x = - 7\\\\Solution = Either, 6 / - 7[/tex]

We can take x to be either 6 or - 7, but as the question asks us to state only one value, I will take x = 6.