6. The Islamic geometers investigated solutions to cubic equations. During the period of 900-1100 AD, they investigated solutions using the intersection of two conics. For example, Omar Khayyam, who lived from 1050 to 1130 AD, classified the cubic equations into 14 types. For example, he constructed the solution to x³ + x = 4 as follows: ². For your where the semicircle has equation (x - 2)² + y² = 4 and the parabola has equation y = information, the numerical solution, which the Islamic mathematicians did not know how to find, is: X 18+√327 32/3 X = 1 3(18+√327) Prove that the intersection of the two equations reduces to the equation x³ + x = 4. 3 ≈ 1.379.

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6. The Islamic geometers investigated solutions to cubic equations. During the period of 900-1100 AD,
they investigated solutions using the intersection of two conics. For example, Omar Khayyam, who
lived from 1050 to 1130 AD, classified the cubic equations into 14 types. For example, he constructed
the solution to x³ + x = 4 as follows:
². For your
where the semicircle has equation (x − 2)² + y² = 4 and the parabola has equation y =
information, the numerical solution, which the Islamic mathematicians did not know how to find, is:
X
3 18+ √327
32/3
X =
1
√√3(18+√327)
Prove that the intersection of the two equations reduces to the equation x³ + x = 4.
≈ 1.379.
Transcribed Image Text:6. The Islamic geometers investigated solutions to cubic equations. During the period of 900-1100 AD, they investigated solutions using the intersection of two conics. For example, Omar Khayyam, who lived from 1050 to 1130 AD, classified the cubic equations into 14 types. For example, he constructed the solution to x³ + x = 4 as follows: ². For your where the semicircle has equation (x − 2)² + y² = 4 and the parabola has equation y = information, the numerical solution, which the Islamic mathematicians did not know how to find, is: X 3 18+ √327 32/3 X = 1 √√3(18+√327) Prove that the intersection of the two equations reduces to the equation x³ + x = 4. ≈ 1.379.
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