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If $x^2 + y^2 = 0.1$ and $|x – y| = 0.2$, then $| x | + | y |$ is equal to

1. 0.3
2. 0.4
3. 0.2
4. 0.6
| 222 views

0.4
by (18 points) 1 2
Given,

x$^2$+y$^2$=0.1

|x–y|=0.2

x$^2$+y$^2$=0.1= (x-y)$^2$-2xy

0.1= 0.04-2xy

-2xy=0.06

xy= – 0.03

Checking the options, |x| and |y| can be 0.1 and 0.3 respectively which adds up to 0.4
by (66 points) 1 2