Question

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

Answer 1

Answer: -7

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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:

$\frac{2x^2+5x+9}{x^2+2x-1}$

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:

 $\frac{2(-2)^2+5(-2)+9}{(-2)^2+2(-2)-1}$

2. Evaluate and simplify:

$\frac{2(4)+5(-2)+9}{4+2(-2)-1}=\frac{8-10+9}{4-4-1}=\frac{7}{-1}=-7$