Question

If x²+y²=7xy show that x²/y²+y²/x²=47

Answer 1

Answer:

Step-by-step explanation:

$Given\\\\x^2+y^2=7xy\\\\Divide\;\;with\;\;xy\\\\\frac{x^2+y^2}{xy}=7\\\\\frac{x}{y}+\frac{y}{x}=7\\\\S.O.B.S\\\\(\frac{x}{y}+\frac{y}{x})^2=7^2\\\\\frac{x^2}{y^2}+\frac{y^2}{x^2}+2\times\frac{x}{y}\times\frac{y}{x}=49\\\\\frac{x^2}{y^2}+\frac{y^2}{x^2}+2=49\\\\\frac{x^2}{y^2}+\frac{y^2}{x^2}=47\\\\\large{\bold{FORMULAE\;\;\;\;(x+y)^2=x^2+y^2+2xy}}$

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