Solution assignment 17 Quadratic equations (factorizing)

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Assignment 17

Try to solve by factorizing:

2x^2+14x+24=0

Solution

In this equation a\neq1, but both sides can be divided by 2 without fractions as coefficients as a result:

x^2+7x+12=0

We have to find p and q such that:

pq=12 and p+q=7

The following values will do:

p=4 and q=3

Thus the equation can be written as:

(x+4)(x+3)=0

and thus the solutions are:

x=-4 or x=-3

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