Complete the Square x^2+10x+

Problem

x2+10*x+…

Solution

1. Identify the coefficient of the linear term x which is b=10

2. Divide this coefficient by 2 to find the value needed for the binomial square: 10/2=5

3. Square the result of the division to find the constant term that completes the square: 5=25

4. Add this constant to the expression to form a perfect square trinomial.

5. Factor the resulting trinomial into the square of a binomial: (x+5)2

Final Answer

x2+10*x+25=(x+5)2

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