A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 sider |
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Side ix
... equations . Discussion of roots of a quadratic equation Zero and infinite roots 109 • 109 . 112 • 113 Equations not integral 115 Irrational equations 118 • A quadratic equation can only have two roots . 120 Relations between the roots ...
... equations . Discussion of roots of a quadratic equation Zero and infinite roots 109 • 109 . 112 • 113 Equations not integral 115 Irrational equations 118 • A quadratic equation can only have two roots . 120 Relations between the roots ...
Side x
... Equations with more than three unknown quantities Examples XII . Examples XIII . Simultaneous equations of the second degree • Equations with more than two unknown quantities Examples XIV . CHAPTER XI . PROBLEMS . Problems not always ...
... Equations with more than three unknown quantities Examples XII . Examples XIII . Simultaneous equations of the second degree • Equations with more than two unknown quantities Examples XIV . CHAPTER XI . PROBLEMS . Problems not always ...
Side 104
... equation ; and the two equal expressions are called the members , or sides , of the equation . When the equality is true for all values of ... equation which contains only one unknown quantity , x CHAPTER IX EQUATIONS ONE UNKNOWN QUANTITY.
... equation ; and the two equal expressions are called the members , or sides , of the equation . When the equality is true for all values of ... equation which contains only one unknown quantity , x CHAPTER IX EQUATIONS ONE UNKNOWN QUANTITY.
Side 105
... equation is equivalent to that formed by adding the same quantity to both its members . For it is clear that A + m ... EQUATIONS . 105 ONE UNKNOWN QUANTITY . General principles applicable to all equations •
... equation is equivalent to that formed by adding the same quantity to both its members . For it is clear that A + m ... EQUATIONS . 105 ONE UNKNOWN QUANTITY . General principles applicable to all equations •
Side 106
... equation 13x - 7 = 5x + 9 . Transpose the terms 5x and -7 ; then 13x - 5x = 7 + 9 . That is 8x = 16 . Divide both ... EQUATIONS . Simple equations.
... equation 13x - 7 = 5x + 9 . Transpose the terms 5x and -7 ; then 13x - 5x = 7 + 9 . That is 8x = 16 . Divide both ... EQUATIONS . Simple equations.
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a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
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