Given\ that\ 25{{x}^{2}}-2xy+4{{y}^{2}}=0.

Find\ the\ value\ of\ \frac{{3x}}{{4y}}



Factorize the algebraic expression using either the cross method  or special algebraic product a2-2ab+b2 = (a-b)2.


Square root both sides of the equation.


Manipulate the equation until the left side is left with x/y.



Multiply both sides of the equation by 3/4.

\frac{3}{4}\times \frac{x}{y}=\frac{3}{4}\times \frac{2}{5}



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