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Solutions for Chapter 2.2: Solving Quadratic Equations Algebraically

Precalculus | 1st Edition | ISBN: 9780030416477 | Authors: Threasa Z. Boyer, Teresa Henry, Chris Rankin, Manda Reid

Full solutions for Precalculus | 1st Edition

ISBN: 9780030416477

Precalculus | 1st Edition | ISBN: 9780030416477 | Authors: Threasa Z. Boyer, Teresa Henry, Chris Rankin, Manda Reid

Solutions for Chapter 2.2: Solving Quadratic Equations Algebraically

Solutions for Chapter 2.2
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Textbook: Precalculus
Edition: 1
Author: Threasa Z. Boyer, Teresa Henry, Chris Rankin, Manda Reid
ISBN: 9780030416477

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2.2: Solving Quadratic Equations Algebraically includes 74 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780030416477. Since 74 problems in chapter 2.2: Solving Quadratic Equations Algebraically have been answered, more than 54630 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 1.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a real number

    Denoted by |a|, represents the number a or the positive number -a if a < 0.

  • Addition principle of probability.

    P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

  • Control

    The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

  • Difference of functions

    (ƒ - g)(x) = ƒ(x) - g(x)

  • Differentiable at x = a

    ƒ'(a) exists

  • Distance (in a coordinate plane)

    The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

  • Dot product

    The number found when the corresponding components of two vectors are multiplied and then summed

  • Frequency table (in statistics)

    A table showing frequencies.

  • Fundamental

    Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

  • Independent events

    Events A and B such that P(A and B) = P(A)P(B)

  • Interval

    Connected subset of the real number line with at least two points, p. 4.

  • Left-hand limit of f at x a

    The limit of ƒ as x approaches a from the left.

  • Linear correlation

    A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • Midpoint (on a number line)

    For the line segment with endpoints a and b, a + b2

  • Normal distribution

    A distribution of data shaped like the normal curve.

  • Rectangular coordinate system

    See Cartesian coordinate system.

  • Sinusoid

    A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

  • Standard unit vectors

    In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

  • Tangent line of ƒ at x = a

    The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.