Question

which wil when added to x^2+1/4x to make it a perfect square
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Answer 1

Answer:

1/64 needs to be added to the equation to become a perfect square.

Step-by-step explanation:

${x}^{2} + \frac{1}{4} x = {x}^{2} + 2( \frac{1}{8} )x \\ comparing \: {a}^{2} + 2ab \: + {b}^{2} \\ b = \frac{1}{8} \\ therefore \: {x}^{2} + 2( \frac{1}{8} )x + {( \frac{1}{8} )}^{2} = {(x + \frac{1}{8} )}^{2}$

Therefore, (1/8)² = 1/64 needs to be added to the equation to become a perfect square.

Answer 2

Answer:

64 needs to be added.

Step-by-step explanation:

Hope it helps