1. Solve the following problem of Abū Kāmil: Suppose 10 is divided into two parts* and the product of one part by itself equals the product of the other part by the square root of 10. Find the parts. Keep your answers in exact form by using expressions with roots and fractions rather than using any decimals. | 2. Solve the problem by Al-Khwarizmi: If someone says: "You divide ten into two parts*: multiply one part by itself; it will be equal to the other taken eighty-one times." Find the parts. Keep your answers in exact form by using expressions with roots and fractions rather than using any decimals.
1. Solve the following problem of Abū Kāmil: Suppose 10 is divided into two parts* and the product of one part by itself equals the product of the other part by the square root of 10. Find the parts. Keep your answers in exact form by using expressions with roots and fractions rather than using any decimals. | 2. Solve the problem by Al-Khwarizmi: If someone says: "You divide ten into two parts*: multiply one part by itself; it will be equal to the other taken eighty-one times." Find the parts. Keep your answers in exact form by using expressions with roots and fractions rather than using any decimals.
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:islamic golden age problems and history proposal:
1. Solve the following problem of Abū Kāmil: Suppose 10 is divided into two parts* and the
product of one part by itself equals the product of the other part by the square root of 10. Find
the parts. Keep your answers in exact form by using expressions with roots and fractions rather
than using any decimals.
1
2. Solve the problem by Al-Khwarizmi: If someone says: "You divide ten into two parts*: multiply
one part by itself; it will be equal to the other taken eighty-one times." Find the parts. Keep your
answers in exact form by using expressions with roots and fractions rather than using any
decimals.
*note: for example, this means something like 5 and 2 or 10 and 1.
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