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    Quadratic equations and inequalities

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    Solve each equation:

    1) 2y^2 - 3y -6 = 0
    2) (x-10)(x-2) = -20

    Find all real or imaginary solutions for each equation:

    1) W^2=-225
    2) 3v^2+4v-1=0
    3) sqrt (7x+29) = x+3

    Word Problem

    Time to Swing. The period T (time in seconds for one complete cycle) of simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=(pi)^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?

    Please help me better understand the above. I am having a hard time with the concept and I am note sure my answers are correct. Thank you so much for all your help.

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    Solution Preview

    Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.

    Note: I am using the formula for the solution of a quadratic equation.

    Solutions of a quadratic equation of the form ax^2 + bx + c = 0 is given by:

    x = [-b +/- sqrt(b^2 - ...

    Solution Summary

    I have solved five problems involving solutions to quadratic equations and one word problem. Solution is well written with clear steps.