Question

if x+y=47 and xy=437; find x-y​

Answer 1

$\huge\bigstar\underline\mathfrak\pink{Answer}$

$\huge\boxed{x\:-\:y\:=\:±\:21\:.5}$

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$\huge\bigstar\underline\mathfrak\pink{Explanation}$

Given :

x+y = 47

xy = 437

To find :

value of (x-y)

Solution :

We know that,

(x-y)² = (x+y)² - 4xy

Now, put the given values in above identity.

(x-y)² = (47)² - 4(437)

(x-y)² = 2209 - 1748

(x-y)² = 461

(x-y) = ±√461

(x-y) = ±21.5 ( approx ).

Hence, (x-y) = ±21.5 ( required answer )