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Question 1040052: For the function f(x)= −1/4x +2, find the value of x for which f(x)=x.
Answer by Aldorozos(172)   (Show Source):
You can put this solution on YOUR website!
f(x)= −1/4x +2, I am not sure what f(x) is.
Let's assume f(x) = -1/(4x) + 2 = x
Here 4x is causing the problem since it appears in the denominator. To get rid of 4x we have to multiply bot sides of the equation by 4x. This gives us
-1 + 2(4x) = 4x^2
This is a quadratic equation and it can be rewritten as
4x^2 - 8x +1 = 0 Solving this equation we get x= (64+ and - square root of 48)/8
If f(x) = -1/(4x+2) then the answer is different. In that case we will have
-1/(4x+2) =x Now we have to multiply both sides by (4x+2) and we get
-1 = (4x+2)*x
Again we get a quadratic equation -1= 4x^2 +2x we can rewrite this equation
4x^2 +2x+1 = 0 There is not any real answer to this quadratic equation since we will have a negative number under radical if we decide to solve this equation.
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