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# Help Me please. Warning HW prob. DONT GIVE ME ANSWER JUST HELP ME SOLVE IT

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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)

\(tommarvoloriddle\)

Jul 5, 2019
edited by tommarvoloriddle  Jul 5, 2019

#1
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See here:   https://web2.0calc.com/questions/complete-the-square-help_1#r2

Jul 5, 2019
#2
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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)

Jul 5, 2019
#3
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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   Jul 5, 2019