A classic example of the quadratic equation in Babylonian mathematics is found on a tablet in the British Museum, which states: I have added 7 times the side of my square to 11 times its surface to obtain 6;15. Reckon with 7 and 11. Solve for the scribe’s answer of 0;30 for the side of the square. [Hint: The injunction to “reckon with 7 and 11means simply that 11x2 + 7x = 6; 15. Multiply both sides of this equation by 11, thereby turning it into a quadratic in 11x.]
A classic example of the quadratic equation in Babylonian mathematics is found on a tablet in the British Museum, which states: I have added 7 times the side of my square to 11 times its surface to obtain 6;15. Reckon with 7 and 11. Solve for the scribe’s answer of 0;30 for the side of the square. [Hint: The injunction to “reckon with 7 and 11means simply that 11x2 + 7x = 6; 15. Multiply both sides of this equation by 11, thereby turning it into a quadratic in 11x.]
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.4: Quadratric Formula
Problem 61PS
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A classic example of the
I have added 7 times the side of my square to 11 times its surface
to obtain 6;15. Reckon with 7 and 11.
Solve for the scribe’s answer of 0;30 for the side of the square.
[Hint: The injunction to “reckon with 7 and 11means simply that 11x2 + 7x = 6; 15. Multiply both sides of this equation by 11, thereby turning it into a quadratic in 11x.]
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