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Math Help - Quadratic Equations in one variable

  1. #1
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    Quadratic Equations in one variable

    Solving quadratic equations by factorizing
    Question

     \frac{25}{6}x^2=\frac{8}{3}

    Attempt
     75x^2-48=0
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  2. #2
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    Quote Originally Posted by mj.alawami View Post
    Solving quadratic equations by factorizing
    Question

     \frac{25}{6}x^2=\frac{8}{3}

    Attempt
     75x^2-48=0
    Immediately the 6 and the 3 can be cancelled to 2 and 1 respectively:

    \frac{25}{2}x^2 = 8

    Take 8 from both sides:

    \frac{25}{2}x^2 - 8 =0

    Multiply through by 2 to clear the denominator:

    25x^2 -16 = 0

    Now you can use the difference of two squares to factorise
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  3. #3
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    Is the answer +4/5,-4/5
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  4. #4
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by cnpranav View Post
    Is the answer +4/5,-4/5
    Yep
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