Rozwiąż równania:
- 1,5x² + 3,5x = -3
3x²+ 7 1/4 x = 2
-1,5x²+3,5x+3=0
-3/2x²+7/2 +3=0
Δ=b²-4ac=(7/2)²-4*(-3/2)*3=49/4 +18=12 1/4 +18=
=30 1/4 = 121/4
√Δ=11/2
x1=(-b-√Δ)/2a=(-7/2-11/2)/(2*(-3/2))=(-18/2)/(-3)=
= -9/-3=3
x2=(-b+√Δ)/2a=(-7/2+11/2)/(-3)=2/-3=-2/3
3x²+7 1/4x-2=0
3x² + 29/4x-2=0
Δ=(29/4)²-4*3*(-2)=841/16 + 24=52 9/16+24=
=76 9/16 =1225/16
√Δ=35/4
x1=(-29/4-35/4)/6=-64/6=-32/3=-10 2/3
x2=(-29/4 +35/4)/6=6/4*1/6=1/4
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-1,5x²+3,5x+3=0
-3/2x²+7/2 +3=0
Δ=b²-4ac=(7/2)²-4*(-3/2)*3=49/4 +18=12 1/4 +18=
=30 1/4 = 121/4
√Δ=11/2
x1=(-b-√Δ)/2a=(-7/2-11/2)/(2*(-3/2))=(-18/2)/(-3)=
= -9/-3=3
x2=(-b+√Δ)/2a=(-7/2+11/2)/(-3)=2/-3=-2/3
3x²+7 1/4x-2=0
3x² + 29/4x-2=0
Δ=(29/4)²-4*3*(-2)=841/16 + 24=52 9/16+24=
=76 9/16 =1225/16
√Δ=35/4
x1=(-29/4-35/4)/6=-64/6=-32/3=-10 2/3
x2=(-29/4 +35/4)/6=6/4*1/6=1/4