Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 20
... Find the algebraic sum of three times the square of x , twice the cube of x , · x3 + x- 2x2 , and x23 − x − x2 + 1 . 20. Take p2 - q2 from 3pq - 4q2 , and add the remainder to the sum of 4pq - p2 - 3q2 and 2p2 + 6q2 . 21. Subtract 3b3 ...
... Find the algebraic sum of three times the square of x , twice the cube of x , · x3 + x- 2x2 , and x23 − x − x2 + 1 . 20. Take p2 - q2 from 3pq - 4q2 , and add the remainder to the sum of 4pq - p2 - 3q2 and 2p2 + 6q2 . 21. Subtract 3b3 ...
Σελίδα 44
... square root of any proposed expression is that quantity whose square , or ... Find the value of 5√ ( 6a3b1c ) , when a = 3 , b = 1 , c = 8 . 5 ( Ga3b * c ) ... square root of the expression taken as a whole . - Example 2. If a = 4 , b = -3 ...
... square root of any proposed expression is that quantity whose square , or ... Find the value of 5√ ( 6a3b1c ) , when a = 3 , b = 1 , c = 8 . 5 ( Ga3b * c ) ... square root of the expression taken as a whole . - Example 2. If a = 4 , b = -3 ...
Σελίδα 48
... Find the square of a1 - 1 - a ̄3 ̧ α 28. Find the continued product of 3a - 2 - 1x , ax3- 1a , and ax3 + b . 29. Divide 2 - y by x¦y1 + x1y1 + x1y1 . 30. Multiply a2 + 2a - 2-7 by 5 + a2 - 2a - 2 . 31. Find the value of ( 3xy - a − x ...
... Find the square of a1 - 1 - a ̄3 ̧ α 28. Find the continued product of 3a - 2 - 1x , ax3- 1a , and ax3 + b . 29. Divide 2 - y by x¦y1 + x1y1 + x1y1 . 30. Multiply a2 + 2a - 2-7 by 5 + a2 - 2a - 2 . 31. Find the value of ( 3xy - a − x ...
Σελίδα 66
... find their ages . Let x be the number of years in B's age , then A's age is x +4 years . One - half of A's age is ... square of the smaller by 7. [ See Art . 84 , Ex . 1. ] 25. The difference between the squares of two consecutive numbers is ...
... find their ages . Let x be the number of years in B's age , then A's age is x +4 years . One - half of A's age is ... square of the smaller by 7. [ See Art . 84 , Ex . 1. ] 25. The difference between the squares of two consecutive numbers is ...
Σελίδα 89
... find its second , third fourth , or any other power . Involution may always be effected by actual multiplication . Here , however , we shall give some rules for writing down at once ( 1 ) any power of a simple expression ; ( 2 ) the square ...
... find its second , third fourth , or any other power . Involution may always be effected by actual multiplication . Here , however , we shall give some rules for writing down at once ( 1 ) any power of a simple expression ; ( 2 ) the square ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Σελίδα 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.