The value of m that completes the given equation is 49/4
Completing the square method.
Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.
Given the following equation
x^2 + 7x + m = 31 + m
Complete the square
x^2 + 7x + (7/2)^2 = 31 + (7/2)^2
Simplify to give;
x^2 + 7x + 49/4 = 31 + 49/4
Comparing with the original equation we will see that m = 49/4.
Learn more on completing the square here:https://brainly.com/question/26107616
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