First Course in Algebra, Βιβλίο 1Macmillan, 1919 - 334 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 37.
Σελίδα xiii
... SQUARE ROOT 237 XV . RADICALS 246 · XVI . QUADRATIC EQUATIONS 260 APPENDIX PART I. SUPPLEMENTARY EXERCISES PART II . TABLE OF POWERS AND ROOTS INDEX 289 314 333 NEWTON Discoverer of the law of gravitation and famous in xiii.
... SQUARE ROOT 237 XV . RADICALS 246 · XVI . QUADRATIC EQUATIONS 260 APPENDIX PART I. SUPPLEMENTARY EXERCISES PART II . TABLE OF POWERS AND ROOTS INDEX 289 314 333 NEWTON Discoverer of the law of gravitation and famous in xiii.
Σελίδα 17
... Square Root and Cube Root . If there are two equal factors of a number , either is called the square root of the number . Thus , 25 has two equal factors , 5 and 5 ; hence the square root of 25 is 5. This is written √25-5 . In the same ...
... Square Root and Cube Root . If there are two equal factors of a number , either is called the square root of the number . Thus , 25 has two equal factors , 5 and 5 ; hence the square root of 25 is 5. This is written √25-5 . In the same ...
Σελίδα 100
... square root of the first term of the given trinomial . WRITTEN EXERCISES Find the two binomial factors of each of the following expressions . 1. x2 + 7x + 12 . [ HINT . Here we need the two numbers whose sum is 7 and whose product is 12 ...
... square root of the first term of the given trinomial . WRITTEN EXERCISES Find the two binomial factors of each of the following expressions . 1. x2 + 7x + 12 . [ HINT . Here we need the two numbers whose sum is 7 and whose product is 12 ...
Σελίδα 106
... square roots of x2 and 25 are x and 5 respectively , while the sign before the remaining term , 10 x , is + . Hence we may write x2 + 10x + 25 = ( x + 5 ) ( x + 5 ) Ans . EXAMPLE 2. Find the factors of 4 x2 - 16 x + 16 . SOLUTION . The ...
... square roots of x2 and 25 are x and 5 respectively , while the sign before the remaining term , 10 x , is + . Hence we may write x2 + 10x + 25 = ( x + 5 ) ( x + 5 ) Ans . EXAMPLE 2. Find the factors of 4 x2 - 16 x + 16 . SOLUTION . The ...
Σελίδα 107
... squares ; also state what is the square root of each . ( See Note in § 64. ) 1. x2 - 2x + 1 . 5. a2 + 6a + 9 . 9 . 2 + 12r + 36 . 2. x2 + 2x + 1 . 6. a2-8 a + 16 . 10 . 9-6 a + a2 . 3. x2 + 4x + 4 . 7. a2 + 10 a + 25 . 2-12r + 36 . 4 ...
... squares ; also state what is the square root of each . ( See Note in § 64. ) 1. x2 - 2x + 1 . 5. a2 + 6a + 9 . 9 . 2 + 12r + 36 . 2. x2 + 2x + 1 . 6. a2-8 a + 16 . 10 . 9-6 a + a2 . 3. x2 + 4x + 4 . 7. a2 + 10 a + 25 . 2-12r + 36 . 4 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ab+b² added algebra Appendix arithmetic Axiom called cents CHAPTER check your answer circle coefficient common denominator common factor completing the square cube diameter divisor Draw the graph equal EXAMPLE EXERCISES Solve figure Find the H. C. F. Find the numbers Find the value following equations following exercises following expressions fraction further exercises given equation gives highest common factor HINT illustrated inches length lowest common means miles an hour minuend monomial multiply negative numbers numerator and denominator ORAL EXERCISES parentheses perfect square polynomial quadratic quadratic equation quotient radical radicand radius ratio represents result Similarly Simplify simultaneous equations SOLUTION Solve the equation square root subtract subtrahend SUPPLEMENTARY EXERCISES surd Transposing triangle trinomial weight wheel write WRITTEN EXERCISES x²y² yards
Δημοφιλή αποσπάσματα
Σελίδα 241 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 101 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 238 - Find the greatest square in the left-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and to the remainder annex the next period for a dividend.
Σελίδα 138 - Separate each number into its prime factors. Find the product of these factors, taking each factor the greatest number of times it occurs in any one of the given numbers.
Σελίδα 140 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Σελίδα 238 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Σελίδα 102 - That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number.
Σελίδα 73 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Σελίδα 143 - A fraction is reduced to its lowest terms when its numerator and denominator have no common factor except 1.
Σελίδα 227 - If 1 is added to the numerator of a certain fraction, the value of the fraction becomes f ; if 2 is added to the denominator, the value of the fraction becomes £. What is the fraction ? SUGGESTION.