Question

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

Answer 1

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.