1. Equations & Inequalities

The Square Root Property

Textbook Question
Solve each equation. 2x²+x-15 = 0
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Textbook Question
Solve each equation. x²- √5x -1 = 0
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Textbook Question
Solve each equation using completing the square. See Examples 3 and 4. -2x^2 + 4x + 3 = 0
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Textbook Question
Solve each equation in Exercises 47–64 by completing the square.x^2 + 4x = 12
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Textbook Question
Evaluate the discriminant for each equation. Then use it to determine the number and type of solutions. -8x² + 10x = 7
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Textbook Question
Solve each equation using the quadratic formula. See Examples 5 and 6. x^2 - 3x - 2 = 0
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Textbook Question
Solve each equation using the quadratic formula. See Examples 5 and 6. 1/2x^2 + 1/4x - 3 = 0
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Textbook Question
Solve each equation in Exercises 47–64 by completing the square.3x^2 - 2x - 2 = 0
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Textbook Question
Solve each equation using the quadratic formula. See Examples 5 and 6.
$(3 x + 2) (x - 1) = 3 x$
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Textbook Question
Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. F = kMv^2/r , for v
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Textbook Question
In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $x^{2} - 4 x - 5 = 0$
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Textbook Question
Evaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example 9. x^2 - 8x + 16 = 0
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Textbook Question
Evaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example 9.
$9 x^{2} + 11 x + 4 = 0$
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Textbook Question
Solve each equation in Exercises 83–108 by the method of your choice. $x^{2} - 2 x = 1$
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Textbook Question
Answer each question. Find the values of a, b, and c for which the quadratic equation. ax^2 + bx + c = 0 has the given numbers as solutions. (Hint: Use the zero-factor property in reverse.) i, -i
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