Question

What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2

Answer 1

Answer: -7

Explanation:

Answer 2

The value of the Rational expression when
`x=-2` is:
`-7`

Explanation:

For this exercise is important to remember:

• When a negative number is raised to an even power, the result will be positive.
• The multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-`

Then, given the following Rational expression:

`(2x^2+5x+9)/(x^2+2x-1)`

You need to follow these steps in order to find its value when
`x=-2`:

1. Substitute the given value of "x" (
`x=2`) into the expression:

`(2(-2)^2+5(-2)+9)/((-2)^2+2(-2)-1)`

2. Evaluate and simplify:

`(2(4)+5(-2)+9)/(4+2(-2)-1)=(8-10+9)/(4-4-1)=(7)/(-1)=-7`