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What value must be added to the expression x2-3x to make it a perfect square trinomial

Craig Stewart

in Mathematics

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Ross Pratt on February 14, 2018

Response: 9/4Explanation:1) Given: x^2 - 3x2) A perfect square trinomial is the result of a binomial squared, for example: (x + a)^2 = x^2 + 2xa + a^2 so, since it has x^2 and - 3x, you have to add (3/2)^2.De that way you get x^2 - 3x + 9/4, which is (x - 3/2)^2.Prove that: (x - 3/2)^2 = x^2 - 2 * x * (3/2) + (3/2)^2 = x^2 - 3x + 9/4. Which means that x^2 - 3x + 9/4 is a perfect square trinomial.So, you must add 9/4 x^2 - 3x to make it a perfect square trinomial.


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