Exponential Equation | Finding real Solutions

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تمرين جيد جميل. شرح واصح مرتب. شكرا جزيلا لكم والله يحفظكم ويحميكم ويرعاكم . تحياتنا لكم من غزة فلسطين

ghhdcdvv
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Here’s my method let u =e^ x then observe that u=-1 is a solution therefore u+1 is a factor and then you get a cubic polynomial. Then that cubic polynomial is again divisible by u+1 and then you obtain the quadratic u^2-3u+1 after synthetic division or long division.

moeberry
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May Allah give you reward 4 ur contribution

harunbabu
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Good Afternoon, Mr Tambuwal. Please how can one solve this substitution equation? I saw one of these YouTubers solved the equation but I don't find it reasonable. Kindly help me out on it.
Substitution: If x= 2a+3/3a-2 hence, evaluate x-1/2x+1.

I will be looking forward to your reply

ridwanmusol
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Answer is : ± 2·ln(φ), where φ is golden ratio.

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