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18 February, 17:37

What are the solutions of the quadratic equation 49x2 = 9?

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  1. 18 February, 18:18
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    49x^2 - 9 = 0

    As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:

    49 = 7^2

    9 = 3^2

    x^2 = (x) ^2

    so ...

    (7x - 3) (7x + 3) = 0

    7x - 3 = 0 7x + 3 = 0

    x = 3/7 x = - 3/7
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