SOLUTION: Using the variable x, write a rational expression that would have the given restrictions. X≠0, x≠ ±3/4 What would the denomainator of the rational expression 7x-13/(4-3x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Using the variable x, write a rational expression that would have the given restrictions. X≠0, x≠ ±3/4 What would the denomainator of the rational expression 7x-13/(4-3x)      Log On


   

Question 1160798: Using the variable x, write a rational expression that would have the given restrictions.
X≠0, x≠ ±3/4
What would the denomainator of the rational expression 7x-13/(4-3x) have to be multiplied by to end up with a denominator in the rational expressions of 20x^(2)-15x^(3)?
If the rational expression 4x^(2)-2x/4x^(2)+20x can be simplified to 2x-1/2x+10 what are the restrictions on the original rational expression?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%287x-13%29%2F%284-3x%29 have to be multiplied by to end up with a denominator in the rational expressions of 20x%5E2-15x%5E3?
20x%5E2-15x%5E3
5x%5E2%284-3x%29=>%287x-13%29%2F%284-3x%29 have to be multiplied by 5x%5E2
If the rational expression %284x%5E2-2x%29%2F%284x%5E2%2B20x%29+ can be simplified to %282x-1%29%2F%282x%2B10%29 what are the restrictions on the original rational expression?
%284x%5E2-2x%29%2F%284x%5E2%2B20x%29+......in both numerator and denominator factor out 2x
2x%282x-1%29%2F2x%282x%2B10%29+.........simplify
cross%282x%29%282x-1%29%2Fcross%282x%29%282x%2B10%29+
so, both numerator and denominator the rational expression %284x%5E2-2x%29%2F%284x%5E2%2B20x%29+ factor out common 2x to simplify to+%282x-1%29%2F%282x%2B10%29