Question

Daca x+y=-2√3 si x patrat - y patrat =4√6 atunci x-y este egal cu ...

Answer 1

$\displaystyle x+y=-2 \sqrt{3} \\ x^2-y^2=4 \sqrt{6} \\ x-y=? \\ x^2-y^2=4 \sqrt{6} \\ (x+y)(x-y)=4 \sqrt{6} \\ -2 \sqrt{3} (x-y)=4 \sqrt{6} \\ x-y=- \frac{4 \sqrt{6} }{2 \sqrt{3} } \\ \boxed{x-y=-2 \sqrt{2} }$

Answer 2

x pătrat - y pătrat =( x-y) (x+y) -》 rradical din 6 =( x-y ) (-2r3) -> x-y = -2rad din 2