Solution assignment 06 Quadratic equations (factorizing)

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Assignment 6

Try to solve by factorizing:

$x^2-x-56=0$

Solution

We have to find $p$ and $q$ such that:

$pq=-56$ and $p+q=-1$

The following values will do:

$p=-8$ and $q=7$

Thus the equation can be written as:

$(x-8)(x+7)=0$

and thus the solutions are:

$x=8$ or $x=-7$

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