Find the number that should be added to the expression to make a perfect square k^2+11k
1 answer:
<span>k^2+11k has 11 as the coefficient of the first power of the variable (k).
To complete the square:
Take HALF of this coefficient. In other words, take HALF of 11, obtaining 11/2.
Square this (11/2): (121/4)
Add this 121/4 to </span><span>k^2+11k
Result: </span><span>k^2+11k + 121/4
This is a perfect square: </span>k^2+11k + 121/4 = (k + 11/2)^2
Answer: The number to be added to k^2 + 11k to make it a perfect square is (121/4).
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