1. Equations & Inequalities

Rational Equations

Textbook Question
Solve each equation. See Example 2. x/(x-1) - 1/(x+1) = 2/(x²-1)
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Textbook Question
Solve each equation. See Example 2. (x+4)/2x = (x-1)/3
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Textbook Question
Solve each equation. See Example 2. 2x/(x-2) = 5 + 4x²/(x-2)
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Textbook Question
Solve each equation. See Example 2. 3x²/(x-1) + 2 = x/(x-1)
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Textbook Question
Solve each equation for the specified variable. (Assume all denominators are nonzero.) 1/R=1/r_1 + 1/r_2, for R
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Textbook Question
Solve each equation. 10/4x-4 = 1 /1-x
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Textbook Question
In Exercises 45–46, describe in words the variation shown by the given equation. z = kx^2 √y
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Textbook Question
In Exercises 45–46, describe in words the variation shown by the given equation.z = k√x / y^2
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Textbook Question
In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies directly as z and inversely as the sum of y and w.
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Textbook Question
In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies directly as z and inversely as the difference between y and w.
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Textbook Question
In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as z and the difference between y and w.
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Textbook Question
In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as z and the sum of y and w.
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Textbook Question
In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as y and z and inversely as the square of w.
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Textbook Question
In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies jointly as y and z and inversely as the square root of w.
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Textbook Question
In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.x varies directly as the cube root of z and inversely as y.
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