Mathematics
Senior High

写真の不等式の解き方を教えてください🙇

*(9) √3x-1<√5(x-√3)

Answers

‪√‬3x-1<‪√‬5x-‪√‬15
⇔‪(‪√‬3-‪√‬5)x<1-‪√‬15
⇔x>(1-‪√‬15)/(‪√‬3-‪√‬5)
⇔x>(1-‪√‬15)(‪√‬3+‪√‬5)/-2
⇔x>(‪√‬3+‪√‬5-3‪√‬5-5‪√‬3)/-2
⇔x>-2(‪2‪√‬3+‪√‬5)/-2
⇔x<(2‪√‬3+‪√‬5)

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