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Solve the quadratic equation using factoring 9x2 - 16 = 0.

2 Answers

3 votes

9x^2-16=0


9x^2-16:


9x^2-16=(3x+4)(3x-4)


(3x+4)(3x-4) :

Using the zero factor participle:

Solve:
(3x+4) = 0 : x = - (4)/(3)


(3x-4) = 0 : x = (4)/(3)

The final solutions to the quadratic equation are:


x= -(4)/(3) and
x = (4)/(3)

hope this helps!

User Jtouzy
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2 votes
This is an example of difference of two squares meaning both of these variables are perfect squares. So when you factor this out you get (3x-4)(3x+4). Then since there's an equal sign you have to solve it. So it'd be 3x=4 divide it by 3 and you get 4/3 and 3x=-4 divide again you get -4/3. Your two final answers are 4/3 and -4/3.
User Dimitris Bouzikas
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