for what value of x is the rational expression below equal to zero? 2-x/2+x
(2-x)/(2+x).
A fraction is equal to zero only when the numerator equals zero:
2-x = 0, X = 2.
(2-x)/(2+x) maybe?
if x = 2, numerator is zero, expression is zero
if x = -2 Explodes, undefined
To find the value of x for which the rational expression (2-x)/(2+x) is equal to zero, we need to set it equal to zero and solve for x.
(2-x)/(2+x) = 0
To solve this equation, we can start by multiplying both sides of the equation by (2+x) to eliminate the denominator:
(2-x) = 0 * (2+x)
2-x = 0
Now, let's isolate x by subtracting 2 from both sides of the equation:
2 - x - 2 = 0 - 2
-x = -2
To get x by itself, we'll multiply both sides of the equation by -1 (or divide both sides by -1):
(-1)(-x) = (-1)(-2)
x = 2
Therefore, the value of x for which the rational expression (2-x)/(2+x) is equal to zero is x = 2.