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Math Help - Quadratics And Algebra Products Help!

  1. #1
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    Quadratics And Algebra Products Help!

    Hi, I am new to this forum. I am going to be very active on this forum as i will need helps sometimes and give helps to others when i know.

    Please do explain how you did it.
    Its a quadratic question. I know how to solve a regular quadratics problem but this one looks little different.

    y^2-24y+144=0

    Please explain how so that i can do other problems.

    and few simple products for algebra

    (t+7)^2

    (c-2d)^2


    All helps are appreciated. Thank you.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by satishgaire View Post
    Hi, I am new to this forum. I am going to be very active on this forum as i will need helps sometimes and give helps to others when i know.

    Please do explain how you did it.
    Its a quadratic question. I know how to solve a regular quadratics problem but this one looks little different.

    y^2-24y+144=0

    Please explain how so that i can do other problems.
    we can factorize this. think of two numbers that we can multiply to get +144 and add to get -24. the two numbers are -12 and -12

    thus we can set up our brackets and place these numbers in the proper places:

    (y - 12)(y - 12) = 0

    \Rightarrow (y - 12)^2 = 0

    \Rightarrow y - 12 = 0 ...........i square rooted both sides

    \Rightarrow y = 12


    alternatively, if you can't factorize, use the quadratic formula.

    the solutions to ax^2 + bx + c = 0 are given by the formula:

    x = \frac {-b \pm \sqrt{b^2 - 4ac}}{2a}

    in this problem, a = 1, b = -24 and c = 144

    and few simple products for algebra

    (t+7)^2

    (c-2d)^2
    you can use the formula: (a + b)^2 = a^2 + 2ab + b^2

    example: (t + 7)^2 = t^2 + 2 \cdot t \cdot 7 + 7^2 = t^2 + 14t + 49


    the longer way: write it out as (t + 7)(t + 7). now multiply everything in the second set of brackets by everything in the first set.

    (t + 7)(t + 7) = t*t + t*7 + 7*t + 7*7 = t^2 + 14t + 49
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