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~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?

~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?
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~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?

asked
User Warre Buysse
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7.8k points

1 Answer

2 votes
x^2+25*x+c = (x+number)^2 ---> x^2+25x+c = x^2 + 2*number*x + number^2,

number = 25/2, c = (25/2)^2 = 625/4


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User Pietromenna
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7.4k points
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