PLEASE HELP WITH SOLVING EQUATION WITH RATIONAL EXPRESSION !!!!CONSIDER THE FOLLOWING EQUATION
X+7/X+2=-1/4

Question

PLEASE HELP WITH SOLVING EQUATION WITH RATIONAL EXPRESSION !!!!CONSIDER THE FOLLOWING EQUATION
X+7/X+2=-1/4

mathmale · Answer

x + 7/x + 2 = -1/4 is to be solved for x (i. e., we want to find the value of x, if any, that satisfies this equation).

Let's start by eliminating fractions.  One fraction in this equation is 7/x, with denominator x..  The other fraction is -1/4.  Thus, the lowest common denominator is 4x.  Multiply all terms of the equation by 4x.  This results in:

4x^2 +28 + 8x = -x

Move -x to the left side of the equation:  4x^2 + 9x + 28 = 0.

Unfortunately, this quadratic equation does not have real roots.  My conclusion would be that there is no real x value that satisfies the equation you've provided.  

Would you mind checking whether or not you've copied the problem statement correctly?