The Elements of Algebra and Trigonometry |
From inside the book
Results 1-5 of 14
Page 65
... remaining quantities are equal still . Ex . If x3 + 2x2 + 3 = 2x2 + 4 , .. cancelling 2x2 + 3 from each member we have x3 = I. If x2 - 3x + 2 = x3 — 3x , then x2 + 2 = x3 . F - 136. Transposition . - By i . and ii . Simple Equations . 65.
... remaining quantities are equal still . Ex . If x3 + 2x2 + 3 = 2x2 + 4 , .. cancelling 2x2 + 3 from each member we have x3 = I. If x2 - 3x + 2 = x3 — 3x , then x2 + 2 = x3 . F - 136. Transposition . - By i . and ii . Simple Equations . 65.
Page 80
... remaining , we must transpose , so that √x2 + 4 = 4 − x . Then when both sides are again squared , x2 + 4 = 16-8x + x2 , or when x2 is cancelled , 4 = 16-8x , 8x = 16-4 = 12 , x = 12 = 3 . 167. 8 + x + √x + 3 = 5 80 Algebra .
... remaining , we must transpose , so that √x2 + 4 = 4 − x . Then when both sides are again squared , x2 + 4 = 16-8x + x2 , or when x2 is cancelled , 4 = 16-8x , 8x = 16-4 = 12 , x = 12 = 3 . 167. 8 + x + √x + 3 = 5 80 Algebra .
Page 85
... remaining . How many boys are there ? Let x be the number of boys . but has not money enough by 8d . The person who is giving the money to them requires 3x pence if he is to give them 3d . each , and he has not so much by 8d . Therefore ...
... remaining . How many boys are there ? Let x be the number of boys . but has not money enough by 8d . The person who is giving the money to them requires 3x pence if he is to give them 3d . each , and he has not so much by 8d . Therefore ...
Page 107
... remaining work , B would have finished 2 hours and 1 minutes before A. How long did each take to do the work ? Ans . 63 and 60 hours . CHAPTER V. SIMULTANEOUS EQUATIONS . 210. When an equation contains Problems . 107.
... remaining work , B would have finished 2 hours and 1 minutes before A. How long did each take to do the work ? Ans . 63 and 60 hours . CHAPTER V. SIMULTANEOUS EQUATIONS . 210. When an equation contains Problems . 107.
Page 119
... remaining two , and these two quantities being determined by the methods already given , the one which was first eliminated can then also be found , and the solution thus completed . Ex . x + 2y - 33 = -4 , ( 1 ) - x + 2 % y = - 9 , ( 2 ) ...
... remaining two , and these two quantities being determined by the methods already given , the one which was first eliminated can then also be found , and the solution thus completed . Ex . x + 2y - 33 = -4 , ( 1 ) - x + 2 % y = - 9 , ( 2 ) ...
Other editions - View all
Common terms and phrases
a²+b² added algebraic quantity angle BAC angle PAQ arithmetic called cent circle circumference coefficient complement compound interest computed containing denominator denote difference digits divided dividend division divisor equal Euclid Examples for Practice expressed Find the number former fraction gallons gives goniometrical Hence hypotenuse inches instance integer known latter length less logarithm magnitude means measured method miles an hour minutes monomial multiplied negative sign observed perpendicular places of decimals positive problem prop proper fraction proportional quadratic quadratic equation quotient radius ratio result right angle right-angled triangle Science Examination shillings simple equation sine solution solved square feet square root subtracted Suppose symbols tables taken tangent tion triangle ABC triangle wherein Trigonometry unknown quantity vertical whence yards zero ΙΟ
Popular passages
Page 174 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ? 13. A and B distribute £60 each among a certain number of persons : A relieves 40 persons more than B does, and B gives to each 5*.
Page 178 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.