3 years ago

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

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

9514 1404 393

Answer:

C. 2x² +4x -30 = 0

Step-by-step explanation:

This is what you get when you follow the instructions.

$\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(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}$

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