Solution assignment 20 Quadratic equations (factorizing)

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Assignment 20

Try to solve by factorizing:

$x^2-64=0$

Solution

In this case we can factorize the function quite easily, by applying one of the special products:

$a^2-b^2=(a+b)(a-b)$

Because 64 is the square of 8, we can write the equation as:

$x^2-8^2=(x+8)(x-8)=0$

and thus the solutions are:

$x=8$ or $x=-8$

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