Rozwiąż równiania: 4x²+16=0 , 2x²+5x=0 , x²+9x+8=0 , -2x²-3x=4
y=ax²+bx+c
Δ=b²-4ac
x₁=[-b-√Δ]/2a
x₂=[-b+√Δ]/2a
==================================
4x²+16=0
a=4, b=0, c=16
Δ=0²-4*4*16
Δ=0-256
Δ=-256
Δ<0 - brak pierwiastków
------------------------------------------------------------------
2x²+5x=0
x(2x+5)=0
x=0 lub 2x+5=0
x=-5/2
x²+9x+8=0
Δ=9²-4*1*8
Δ=81-32
Δ=49
√Δ=7
x₁=[-9-7]/2=-16/2=-8
x₂=[-9+7]/2=-2/2=-1
-2x²-3x=4
-2x²-3x-4=0
Δ=(-3)²-4*(-2)*(-4)
Δ=9-32
Δ=-23
masz tam wszystko opisane w załączniku ;)
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y=ax²+bx+c
Δ=b²-4ac
x₁=[-b-√Δ]/2a
x₂=[-b+√Δ]/2a
==================================
4x²+16=0
a=4, b=0, c=16
Δ=0²-4*4*16
Δ=0-256
Δ=-256
Δ<0 - brak pierwiastków
------------------------------------------------------------------
2x²+5x=0
x(2x+5)=0
x=0 lub 2x+5=0
x=-5/2
------------------------------------------------------------------
x²+9x+8=0
Δ=9²-4*1*8
Δ=81-32
Δ=49
√Δ=7
x₁=[-9-7]/2=-16/2=-8
x₂=[-9+7]/2=-2/2=-1
------------------------------------------------------------------
-2x²-3x=4
-2x²-3x-4=0
Δ=(-3)²-4*(-2)*(-4)
Δ=9-32
Δ=-23
Δ<0 - brak pierwiastków
masz tam wszystko opisane w załączniku ;)