+1712 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
\(tommarvoloriddle\)
+794 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)
+128475 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
