Question

Daca x+y = -2√3 si x²-y² = 4√6 atunci x-y este egal cu.......
Imi puteti si explica ?

Answer 1

x+y = -2√3 x²-y² = 4√6
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x-y=????
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 x²-y² este diferenta de patrate si are formula: x²-y²=(x+y)(x-y)
inlocuim cu ce aveam dat in enunt:
4√6= - 2√3(x-y)
⇒$-(x-y)= \frac{4 \sqrt{6} }{2 \sqrt{3} } \\ -(x-y)= \frac{2 \sqrt{6} }{ \sqrt{3} } \\ -(x-y)=\frac{2 \sqrt{6}* \sqrt{3} }{ 3 } \\ -(x-y)= \frac{2 \sqrt{18} }{ 3 } \\(x-y)= -\frac{2 \sqrt{18} }{ 3 }$