 ... being any number whatever. 3. Find a number such, that if its square be multiplied by 7, and the number itself by 8, the sum of the products shall be a square. 4. Find a number such, that if its square be divided by 10, and the number itself by 3,...  Key to Professor Young's Algebra - Página 164por W. H. Spiller - 1835 - 196 páginasVista completa - Acerca de este libro
 | John Radford Young - 1838 - 368 páginas
...divided by 10, and the number itself by 3, the difference of the quotients shall be a square. САЗЕ 3. When с is a square, or when the expression is of the form Vax2 + Ъx + /. Put Jax2 + bx + c' = px + c, thenax2 + 6x + ci = ptx2 + 2epx + e2, or ax2 + Ъx = p2x2... | |
 | John Radford Young - 1839 - 332 páginas
...square be divided by 10, and the number itself by 3, the difference of the quotients shall be a square. CASE 3. When с is a square, or when the expression is of the form + Ъх + с2. Put x/axs+ Ъх + (? = рх + с, then ax2 + Ъх + ct = p*xt + 2cpx c2, or ax2 + Ъх... | |
 | Joseph Ray - 1852 - 366 páginas
...I , multiplied by eight times the number diminished by 2, shall be a square. ART. 19. CASE IV. — When с is a square, or when the expression is of the form J ax2 -\-bx-\-c*. then ax2+bx+c'=pW+2pcx-\-c' , whence =2pc-b a — j,2 ' EXAMPLES. 1. Find such a... | |
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