Solution assignment 15 Quadratic equations (factorizing)

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Assignment 15

Try to solve by factorizing:

2x^2+6x-6=0

Solution

In this equation a\neq1, but both sides can be divided by 2, yielding the equation:

x^2+3x-3=0

Next we have to find p and q such that:

pq=-3 and p+q=3

There are no whole numbers p and q that satisfy these equations. This does not mean that the equation has no solutions. In this case the equation has two solutions (because the discriminant D>0), and we apply the abc-formula, see Quadratic equations (abc-formula).

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