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    Solving Quadratic Equations and Graphing Squares

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    Section 8.2
    #12 solve each equation by using the quadratic formula (what is this quadratic formula? Don't understand how this is done)
    M^2 + 2m = 8

    #20 Solve each equation by using the quadratic formula
    4 + 20x = 25x^2

    #28 solve each equation by using the quadratic formula
    2y^2 + 1 = 2y

    #42 Number solutions. Find b^2 - 4ac and the number of real solutions to each equation
    9m^2 + 16 = 24m

    #50 ½ x^2 + x = 1

    #80 Find two real numbers that have a sum of 8 and a product of 2

    Section 8.3
    #6 Writing a quadratic equation with given solutions. For each given pair of numbers find a quadratic equation with integral coefficients that has the numbers as its solutions.
    -8, 2

    #24 Using the discriminant in factoring. Use the discriminant to determine whether each quadratic polynomial can be factored, then factor the ones that are not prime.
    8x^2 + 6x - 27

    #32 Equations Quadratic in form
    (3a + 2)^2 - 3(3a + 2) = 10

    #54 Find all real solutions to each equation
    2x - 5√x + 2 = 0

    Section 9.1
    #10 Linear and constant functions. Graph each function and state its domain and range.
    G(x) = x + 2

    #20 Absolute value functions. Graph each absolute value function and state its domain and range.
    F(x) = | x - 2|

    #34 Quadratic functions. Graph each quadratic function and state its domain and range
    Y = -2x^2 + 3

    #38 square root functions. Graph each square root function and state its domain and range
    F(x) = √x + 1

    #56 Graphing relations. Graph each relation and state its domain and range
    X = -3

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    https://brainmass.com/math/graphs-and-functions/solving-quadratic-equations-graphing-squares-524940

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    Section 8.2
    #12 solve each equation by using the quadratic formula (what is this quadratic formula? Don't understand how this is done)
    m^2 + 2m = 8
    Solution. m^2 + 2m - 8 =0

    By the formula, we get

    So,
    or

    #20 Solve each equation by using the quadratic formula
    4 + 20x = 25x^2
    Solution: The equation can be rewritten as 25x^2-20x-4=0
    So,
    So, or

    #28 solve each equation by using the quadratic formula
    2y^2 + 1 = 2y
    Solution. 2y^2 + 1 = 2y 2y^2 -2y + 1 = 0
    Since , it has no real solutions.

    #42 Number solutions. Find b^2 - 4ac and the number of real solutions to each equation
    9m^2 + 16 = ...

    Solution Summary

    The expert solves the quadratic equations and graphic squares.

    $2.49

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