completing the square

[spark quiver]

I have to completing square 2x^2-7x+4.
I get that I have to factor equation by separate 2
2(x^2-7/2x+2) and square the -7/2.
But i have no idea what should i do next

[echo badger]

You did a minor mistake

Also after factoring out the 2, you focus now on the inner term

$\(x^2-\frac{7}{2}x+2)$

[inland vigil]

adonhs

[echo badger]

When you add $\frac{49}{16}$ you have to also subtract it, otherwise you lose the equality of your previous terms.
So basically you gotta do:

$\2\bigg(\bigg(x^2 - \frac{7}{2}x + \frac{49}{16}\bigg) + 2 - \frac{49}{16}\bigg)\$
$\ = 2\bigg(\bigg(x - \frac{7}{4}\bigg)^2 + 2 - \frac{49}{16}\bigg)\$
$\ = 2\bigg(\bigg(x - \frac{7}{4}\bigg)^2 - \frac{17}{16}\bigg)\$

And now just multiply the 2 back in.
$\$Basically, you continue working within the brackets of your term.

[inland vigil]

adonhs