RATUJCIE ! Rozwiąż nierówność : 2x2 ≤ -4x+6
2x²+4x-6≤0/:2
x²+2x-3≤0
x²-x+3x-3≤0
x(x-1)+3(x-1)≤0
(x-1)(x+3)≤0
m.z. x=-1 v x=3
++++ ------- ++++
_____-3_______1__________>x
odp. x∈<-3;1>
2x² ≤ -4x+6
2x²+4x-6≤ 0
Δ=16+48=64
√Δ=8
x1=-4-8/4=-12/4=-3
x2=-4+8/4=4/4=1
+ + + + + + + + + +
--------.-------------.------------->
-3 - - - - - - 1
x∈<-3,1>
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2x²+4x-6≤0/:2
x²+2x-3≤0
x²-x+3x-3≤0
x(x-1)+3(x-1)≤0
(x-1)(x+3)≤0
m.z. x=-1 v x=3
++++ ------- ++++
_____-3_______1__________>x
odp. x∈<-3;1>
2x² ≤ -4x+6
2x²+4x-6≤ 0
Δ=16+48=64
√Δ=8
x1=-4-8/4=-12/4=-3
x2=-4+8/4=4/4=1
+ + + + + + + + + +
--------.-------------.------------->
-3 - - - - - - 1
x∈<-3,1>