Question

x square + y square is 37 and xy is 6 find the value of x-y ​

Answer 1

$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$

$\bold{The \ value \ of \ x-y \ is \ 5.}$

$\bold\blue{Explanation:-}$

$\bold{Identity \ is:-}$

$\bold{(a-b)^{2}=a^{2}+b^{2}-2ab}$

$\huge\orange{Given:-}$

$\bold{=>x^{2}+y^{2}=37}$

$\bold{=>xy=6}$

$\bold\pink{To \ find:-}$

$\bold{The \ value \ of \ x-y}$

$\bold\green{\underline{\underline{Solution:}}}$

$\bold{According \ to \ identity}$

$\bold{(a-b)^{2}=a^{2}+b^{2}-2ab}$

$\bold{=>(x-y)^{2}=x^{2}+y^{2}-2xy}$

$\bold{=>(x-y)^{2}=37-2(6)}$

$\bold{=>(x-y)^{2}=37-12}$

$\bold{=>(x-y)^{2}=25}$

$\bold{On \ taking \ square \ root \ of \ both \ sides}$

$\bold{=>x-y=5}$

$\bold\purple{\tt{\therefore{The \ value \ of \ x-y \ is \ 5.}}}$