Question

6/x=2x+4/5 multiply each side by the common denominator to find the quadratic equation equivalent to this equation

Answer 1

9514 1404 393

Answer:

C. 2x² +4x -30 = 0

Explanation:

This is what you get when you follow the instructions.

`(6)/(x)=(2x+4)/(5)\qquad\text{given}\\\\(6(5x))/(x)=((5x)(2x+4))/(5)\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}`