First Course in Algebra, Βιβλίο 1Macmillan, 1919 - 334 σελίδες |
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Σελίδα xiii
... SQUARE ROOT 237 XV . RADICALS 246 · XVI . QUADRATIC EQUATIONS 260 APPENDIX PART I. SUPPLEMENTARY EXERCISES 289 PART II . TABLE OF POWERS AND ROOTS 314 INDEX 333 • NEWTON Discoverer of the law of gravitation and famous xiii.
... SQUARE ROOT 237 XV . RADICALS 246 · XVI . QUADRATIC EQUATIONS 260 APPENDIX PART I. SUPPLEMENTARY EXERCISES 289 PART II . TABLE OF POWERS AND ROOTS 314 INDEX 333 • NEWTON Discoverer of the law of gravitation and famous 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 - 16x + 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 - 16x + 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. r2 + 12r + 36 . 2. x2 + 2x + 1 . 6. a2-8 a + 16 . 3. x2 + 4x + 4 . 7. a2 + 10 a + 25 . 8. r2 - 12 r + 36 . 4. x2-4x + 4 . 13 ...
... squares ; also state what is the square root of each . ( See Note in § 64. ) 1. x2-2x + 1 . 5. a2 + 6a + 9 . 9. r2 + 12r + 36 . 2. x2 + 2x + 1 . 6. a2-8 a + 16 . 3. x2 + 4x + 4 . 7. a2 + 10 a + 25 . 8. r2 - 12 r + 36 . 4. x2-4x + 4 . 13 ...
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a²+2ab+b² 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