An Algebra Upon the Inductive Method of InstructionMorton & Griswold, 1840 - 288 σελίδες |
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Σελίδα 26
... Increase the first member by 6 , and it becomes 4 x . Increase the second member by 6 and it becomes 18+ 6 , or 24 . Then 4x = 24 x . 6 one number : 3 x 6 6 + 18 6 5. There are two numbers of being four times the other . Let Then 4x And ...
... Increase the first member by 6 , and it becomes 4 x . Increase the second member by 6 and it becomes 18+ 6 , or 24 . Then 4x = 24 x . 6 one number : 3 x 6 6 + 18 6 5. There are two numbers of being four times the other . Let Then 4x And ...
Σελίδα 29
... Increase each side by 3 x , and then diminish each side by 4 , and we have x + 3x = 60-4 20 - 4x = 56 x = 14 x = 6 14 + 4 = 187 Proof . 3 X 6 = 185 2. Two numbers make 60 ; and twice one are equal to three times the other . What are the ...
... Increase each side by 3 x , and then diminish each side by 4 , and we have x + 3x = 60-4 20 - 4x = 56 x = 14 x = 6 14 + 4 = 187 Proof . 3 X 6 = 185 2. Two numbers make 60 ; and twice one are equal to three times the other . What are the ...
Σελίδα 30
... first ? SECTION X. Simple Equations . 1. Increasing a number x by 2 , and then diminishing the sum by 6 , is the same as diminishing the number x by how much ? Ans . It is the same as diminishing the number 309 AN INDUCTIVE ALGEBRA .
... first ? SECTION X. Simple Equations . 1. Increasing a number x by 2 , and then diminishing the sum by 6 , is the same as diminishing the number x by how much ? Ans . It is the same as diminishing the number 309 AN INDUCTIVE ALGEBRA .
Σελίδα 42
... Increase both members of the equation by 9 , and we have , x2 + 6x + 9 = 16 + 9 , or 25 . We can now take the second ... increased by 4 , and * The second power of half the coefficient of x is the number to be added , also by 2 ; and the ...
... Increase both members of the equation by 9 , and we have , x2 + 6x + 9 = 16 + 9 , or 25 . We can now take the second ... increased by 4 , and * The second power of half the coefficient of x is the number to be added , also by 2 ; and the ...
Σελίδα 45
... Increasing both members of the equation by x2 , we have 20 x 96 x2 Subtracting 96 from both members , we have 20 x 96 x2 Subtracting 20 x from both members , and we have Or x2 0 96x2- 20 x -- · 20x = 0 . WEST 96 x2 - 20x + 100 100-96 ...
... Increasing both members of the equation by x2 , we have 20 x 96 x2 Subtracting 96 from both members , we have 20 x 96 x2 Subtracting 20 x from both members , and we have Or x2 0 96x2- 20 x -- · 20x = 0 . WEST 96 x2 - 20x + 100 100-96 ...
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An Algebra Upon the Inductive Method of Instruction John H. Harney Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a-piece affected equation answer approximate root arithmetical progression Assume barrels bought cents chance complete the square cost cubic equation cubic foot denominator differential coefficient Diophantine Analysis Divide the number equa equal factors feet Find a number find the logarithm Find the values Find two numbers flour following equations four fourth power fraction function geometrical progression give given greater Hence hour length less letters lever miles number of dollars pounds power of h preceding question quantity quotient reduced remainder represent the number required to find result rods second member second power second root SECTION sheep shillings square number substitute subtracted Suppose terms multiplied third power third root three numbers tion traveled twice unknown number value of x weight whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 284 - It is required to find three numbers such that the product of the first and second...
Σελίδα 56 - What fraction is that, to the numerator of which if 1 be added, the fraction will be j : but if 1 be added to the denominator, the fraction will be £ 1 Ans.
Σελίδα 284 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Σελίδα 16 - A man when he was married, was three times as old as his wife, but after they had lived together 15 years, he was only twice as old. How old was each at the time of marriage ? Ans.
Σελίδα 220 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Σελίδα 157 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Σελίδα 108 - The fourth term contains the unknown quantity raised to a power less by 3 than that of the first term, with a coefficient equal to the sum of all the products which can be made by multiplying any three of the roots with contrary signs.
Σελίδα 219 - It is required to divide the nnmber 10 into three such parts, that if the first be multiplied by 2, the second by 3, and the third by 4, the three products shall be all equal. Ans.
Σελίδα 35 - Ans. $60. 8. What number is that from which if 5 be subtracted, f of the remainder will be 40 ? Ans. 65. 9. A man sold a horse and a chaise for $200, and £ of the price of the horse was equal to J of the price of the chaise.
Σελίδα 284 - ... be put on the back of the third, it will make his value triple that of the first and second: what is the value of each horse ? Ans.