1. Equations & Inequalities

The Quadratic Formula

Textbook Question
Solve each equation in Exercises 83–108 by the method of your choice. $3 x squared equals 60$
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Textbook Question
If 5 times a number is decreased by 4, the principal square root of this difference is 2 less than the number. Find the number(s).
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Textbook Question
Solve each equation in Exercises 15–34 by the square root property. $3 (x - 4)^{2} = 15$
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Multiple Choice
Solve the given quadratic equation using the quadratic formula. $2x^2-3x=-3$
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Textbook Question
Find all values of x satisfying the given conditions. y₁ = x - 1, y₂ = x + 4 and y₁y₂ = 14
Textbook Question
Solve: √(6x - 2) = √(2x + 3) - √(4x - 1).
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Multiple Choice
For a quadratic equation in standard form $a x^{2} + b x + c = 0$ , what expression gives the discriminant?
Textbook Question
Solve each equation in Exercises 47–64 by completing the square. $x^{2} - 6 x - 11 = 0$
Multiple Choice
Which mathematician is most commonly credited with introducing a general method equivalent to the modern quadratic formula for solving equations of the form $a x^{2} + b x + c = 0$ ?
Textbook Question
If a number is decreased by 3, the principal square root of this difference is 5 less than the number. Find the number(s).
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Textbook Question
Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4
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Textbook Question
Solve each equation in Exercises 47–64 by completing the square. $2 x^{2} - 7 x + 3 = 0$
Multiple Choice
Which equation shows the quadratic formula used correctly to solve $a x^{2} + b x + c = 0$ for $x$ ?
Textbook Question
Solve each equation in Exercises 83–108 by the method of your choice. x² - 4x + 29 = 0
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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. $2 x^{2} - 11 x + 3 = 0$
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