Quadratic equations

Solve:
xy+x+y=23
xz+z+x=41
yz+y+z=27

3 Answers

341
Hari Shankar ·

Simon's Favourite Factorising Trick

106
Asish Mahapatra ·

(x+1)(y+1) = 24 (=6*4)
(x+1)(z+1) = 42 (=6*7)
(y+1)(z+1) = 28 (=4*7)

So, x=5, y=3, z=6

looked up Simon's Favourite Factorising Trick

11
sagnik sarkar ·

Thank you!
That was a nice trick.

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