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- 20/20 Rational Expressions Vs. Calcu-Logarithm
20/20 Rational Expressions 與 Calcu-Logarithm 使用情況與統計
A power learning aid combines Guides, Practice and Coaching Calculators to help students master rational expression or rational fraction simplification and rational equation solving.
Rational expression Practice and Coaching Calculators take you step-by-step through the simplification of expressions such as :
(6x³ + 7x² - 1)/(2x² + 3x + 1)
(x² + 6x + 8)/(x + 2)
(x² - 5x + 6)/(14 + 3x - 5x²)
(3x - 9)/(6x - 12)
Detailed steps :
- Factoring out numeric or algebraic factors
- Factoring linear numerators/denominators
- Factoring quadratic numerators/denominators
- Factoring cubic numerators/denominators
- Dividing out or canceling common factors
Rational equation Practice takes you step-by-step through the solving of equations such as :
(5x + 3)/4 + (1 + 3x)/5 = 4/5
2/(3x²) + 5/x = 3/(4x)
1/(3x + 6) - 3/(5x² + 8x - 4) = -5/(15x - 6)
(2x - 1)/(3x + 2) - (1 - x)/(6x² + 7x - 2) = 7/20
Detailed steps :
- Factoring denominators
- Finding Least Common Denominator (LCD)
- Multiplying through by LCD or making each term have LCD
- Solving resulting linear or quadratic equation
The Guide also covers the addition and subtraction of rational expressions such as
3/(x + 1) + 2x/(x² - 6x - 7)
and the multiplication and division of rational expressions such as
(x² - 1)/(9x² - 1) * (6x + 2)/(3x² - 3x).
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Calcu-Logarithm performs calculations and helps user understand logarithms on advanced level:
1. Solves equation "y = log_a(x)” for “y”, “x”, and “a”, with relevant graphs.
2. Explains and illustrates how to compute log_e (x) from Taylor series.
3. Explains and illustrates how to compute log_10 (x) digit by digit (based on M.Goldberg algorithm).
4. Explains and provides proof of log_e definition as the integral of x inverse.
5. Simplifies logarithmic expressions and solves logarithmic equations with polynomials of up to 20th degree.
6. Includes virtual slide rule for multiplication and division.
7. Calculates, explains, and graphs logarithms of complex numbers.
Developers welcome any feedback, please write to us at graphmath@aol.com.
Please check out our other Math apps.
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20/20 Rational Expressions VS.
Calcu-Logarithm
12月 19, 2024