Algebraical Problems, Producing Simple and Quadratic Equations, with Their Solutions: Designed as an Introduction to the Higher Branches of AnalyticsDeighton & Sons, 1824 - 383 σελίδες |
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Σελίδα
... completing the square ; and 3. Adfected Quadratics . Utility being the sole object of this Publication , wherever a proper Example occurred , it has been taken without hesitation , or altered to suit the purpose . At the head of each ...
... completing the square ; and 3. Adfected Quadratics . Utility being the sole object of this Publication , wherever a proper Example occurred , it has been taken without hesitation , or altered to suit the purpose . At the head of each ...
Σελίδα 48
... completing the Square . ( 27. ) WHEN the terms of an equation involve the square of the unknown quantity only , the value of the square will be found by the preceding articles ; and extracting the root on each side of the equation , the ...
... completing the Square . ( 27. ) WHEN the terms of an equation involve the square of the unknown quantity only , the value of the square will be found by the preceding articles ; and extracting the root on each side of the equation , the ...
Σελίδα 51
... - y :: 8 : 1 ; } } to find the values .. ( Alg . 182. ) 2x : 2y : 97 , and ( Alg . 184. ) x : .. ( 21 ) 7x = 9y , y 9 : 7 ; and x 94 Substituting this for x in the second equation , 2 7 without completing the Square . 51.
... - y :: 8 : 1 ; } } to find the values .. ( Alg . 182. ) 2x : 2y : 97 , and ( Alg . 184. ) x : .. ( 21 ) 7x = 9y , y 9 : 7 ; and x 94 Substituting this for x in the second equation , 2 7 without completing the Square . 51.
Σελίδα 53
... square root , rys2 - 4a2 x - y = ± but x + y = 8 ; .. by addition , 2x = s ± √√√ / s2 —4a3 , and x = ( ss2 - 4a3 ) ; 2 by subtraction , 2y = s + √√ / s 2 − 4a3 ; 2 •• y = { ( s + √√ / 52 — 4a3 ) . 13 ... completing the Square . 53.
... square root , rys2 - 4a2 x - y = ± but x + y = 8 ; .. by addition , 2x = s ± √√√ / s2 —4a3 , and x = ( ss2 - 4a3 ) ; 2 by subtraction , 2y = s + √√ / s 2 − 4a3 ; 2 •• y = { ( s + √√ / 52 — 4a3 ) . 13 ... completing the Square . 53.
Σελίδα 55
... a ; x 2 a b + a2 √2ab - b2 = x . to find the values of x and y . From the first equation subtracting twice the second , ( x2 — 2 xy + y2 = ) x − y | 2 = 2 1 - .. ( x − y ) 3 = 1 X- -y without completing the Square . 55.
... a ; x 2 a b + a2 √2ab - b2 = x . to find the values of x and y . From the first equation subtracting twice the second , ( x2 — 2 xy + y2 = ) x − y | 2 = 2 1 - .. ( x − y ) 3 = 1 X- -y without completing the Square . 55.
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Algebraical Problems, Producing Simple and Quadratic Equations, With Their ... Miles Bland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
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