Question

-x²+4x-2k=0 qual o resultado de k

Answer 1

-x²+4x-2k=0 (x-1)
x²-4x+2k
a=1 b=-4 c=2k
Δ = b²-4ac
Δ = (-4)²-4.1.2k
Δ =16-8k
Δ =8k
x=-b+-√ Δ /2a
x=4+-√8k/2.1
x=4+-8k/2
x'=4+8k/2=12/2=6k
x''=4-8k/2=-4/2=-2k
k=6-2=4
2k=2.4= 8