contestada

Find the number that we can place in the box, so that the resulting quadratic is the square of a binomial.
\[x^2 + \dfrac{4}{5}x + \boxed{\phantom{000}}\]

Respuesta :

kudzordzifrancis

Answer:

[tex] \frac{4}{25} [/tex]

Step-by-step explanation:

The given expression is :

[tex] { x}^{2} + \frac{4}{5} x + \boxed {}[/tex]

To create a perfect square binomial, we add the square of half the coefficient of x

[tex] {x}^{2} + \frac{4}{5}x + {( \frac{2}{5} )}^{2} [/tex]

We simplify to obtain;

[tex]{x}^{2} + \frac{4}{5}x + { \frac{4}{25}}[/tex]

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