| Florian Cajori - 1896 - 324 σελίδες
...= 50 or - 5 for the roots of y? — 45 x = 250. " But," says he, " the second value is in this case not to be taken, for it is inadequate ; people do not approve of negative roots." Thus negative roots were seen, but not admitted. In the Hindu mode of solving quadratic equations,... | |
| Francis Rolt-Wheeler - 1909 - 356 σελίδες
...this up into two conditions, Bhaskara, who solved such equations, says "the second value in this case is not to be taken, for it is inadequate, people do not approve of negative roots." Such equations as the above were readily solved by the Hindus. Hankel says of them : "If one understands... | |
| John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 257 σελίδες
...50, x = — 5, as the roots of x*-— 45 # = 250; "but," says he, "the second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots." l For centuries thereafter people did not approve of negative roots. The German mathematician, MICHAEL... | |
| Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - 1915 - 300 σελίδες
...45x = 250, Bhaskar gives x = 50 and x = -5 for roots, but he says, " The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots." CHAPTER XXIV SYSTEMS OF EQUATIONS INVOLVING QUADRATICS 170. Introduction. The typical form of a quadratic... | |
| Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - 1915 - 302 σελίδες
...45x = 250, Bhaskar gives x = 50 and x = -5 for roots, but he says, " The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots." CHAPTER XXIV SYSTEMS OF EQUATIONS INVOLVING QUADRATICS 170. Introduction. The typical form of a quadratic... | |
| Florian Cajori, Letitia Rebekah Odell - 1915 - 242 σελίδες
...50 or — 5 as the roots of x2 — 45 x = 250, and remarks : " But the second value is in this case not to be taken, for it is inadequate ; people do not approve of negative roots." Thus negative roots were seen, but not admitted. The recognition of negative roots came much later.... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - 1917 - 674 σελίδες
...positive roots. Bhaskara, a Hindu mathematician, gives x — 50 and x = — 5 as roots of y? — 45 x — 250 but remarks that "The second root is not...entirely rejected by the Ancients. Cardan in Italy (1501-157<i), and Harriot in Kngland (1500-1621), mentioned them, but simply said that they indicated... | |
| Morris Kline - 1982 - 380 σελίδες
...Bhaskara said, while giving 50 and -5 as two solutions of a problem, "The second value is in this case not to be taken, for it is inadequate; people do not approve of negative solutions." Nevertheless, negative numbers were used increasingly after they were introduced. The Hindus... | |
| Morris Kline - 1990 - 434 σελίδες
...Bhaskara, while giving 50 and —5 as two solutions of a problem, says, "The second value is in this case not to be taken, for it is inadequate; people do not approve of negative solutions." However, negative numbers gained acceptance slowly. The Hindus took another great step... | |
| David Wells - 1997 - 260 σελίδες
...Bhaskara commented on the negative root of a quadratic equation, 'The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots.' On the other hand, the Chinese had already discovered negative numbers for counting purposes. By the... | |
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