The factors of 9x2 - 30x + 25 are by splitting middle term
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This is a special product - a square of a binomial. So what you do first is to get the square root of the first term. You must get the square root of #9x^2# which is #3x#. Then, you get the square root of 25 which is 5. Put them together but leave a space in the middle for the sign. Since the middle term is positive, we put a plus sign so the final answer is #(3x+5)^2#.
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Step-by-step explanation:
9x^2-30x+25=0
9x^2-15x-15x+25=0
3x(3x-5)-5(3x-5x)=0
(3x-5)(3x-5)=0
now,
3x-5=0
3x=5
x=5/3
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