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Heyyo, can I get some help?
To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial?
What is the value? x^2 + 2/5x + ?

A)square 2/5 and add to both sides; 4/25
B)take half of 2/5 and add to both sides; 1/5
C)square half of 2/5 and add to both sides; 1/25
D)take half of 2/5 and add the opposite to both sides; −1/5

Respuesta :

Answer:

C) Square half of [tex]\frac{2}{5}[/tex] and add to both sides; [tex]\frac{1}{25}[/tex]

Step-by-step explanation:

x² + [tex]\frac{2}{5}[/tex]x + c

c = ([tex]\frac{1}{2}[/tex] × [tex]\frac{2}{5}[/tex])² = ([tex]\frac{1}{5}[/tex])² = [tex]\frac{1}{25}[/tex]

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