Complete the square: \(4x^2+5x+2\).

What I tried:

Plugging in numbers(got nothing)

factoring it(nothing)

using a harry potter wand (nothing, but it was cooler)

sleeping on a cat (cat tried to kill me)

breaking a watch (I don't know the time now)

completing the square (got confused)

Please help me

\(tommarvoloriddle\)

tommarvoloriddle Jul 5, 2019

#2**+6 **

Combine like terms

4x^2+5x=9x^2

9x^2+2=0

solve as a normal problem as 9x+2=0

then 9x=2

divide

x=2/9

x=sqrt(2/9)

travisio Jul 5, 2019

#3**+2 **

4x^2 + 5x + 2 factor out the "4"

4(x^2 + (5/4)x + 2/4)

Take 1/2 of 5/4 = (1/2)(5/4) = 5/8 ....square this = 25/64...add and subtract it within the parentheses

4( x^2 + (5/4)x + 25/64 + 2/4 - 25/64) factor the first three terms, simplify the rest

4[ ( x+ (5/8))^2 + 32/64 25/64]

4 [ ( x + (5/8) )^2 + 7/64 ] distribute the4 over the terms inside the parentheses

4(x + (5/8))^2 + 28/64

4 (x + (5/8))^2 + 7/16

CPhill Jul 5, 2019