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Solve the following quadratic equation by factorization method: 9x^2-25 = 0 - Algebra

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Solve the following quadratic equation by factorization method: 9x2-25 = 0

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Solution

9x2-25=0
(3x)2-(5)2=0
(3x-5)(3x+5)=0……... [a2 -b2 =(a-b)(a+b)]
(3x-5)=0 or (3x+5)=0
3x = 5 or 3x = -5
x =5/3 or x = -5/3

`therefore{5/3,-5/3} ` is the solution set of the given equation.

Concept: Solutions of Quadratic Equations by Factorization
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