2.81 rozwiaz rownania 3x²+7x-20=0
2,82
2x²+9x-35=0
-x+5x-15=0
16x²-56x+49=0
-x²-2x+2=0
Zad. 2.81.
3x²+7x-20=0
Δ=49-4*3*(-20)=49+240=289
√Δ=17
x1=(-7-17)/6=-4
x2=(-7+17)/6=5/3
Zad. 2.82.
Δ=81-4*2*(-35)=81+280=361
√Δ=19
x1=(-9-19)/4=-7
x2=(-9+19)/4=5/2
-x+5x=15
4x=15
x=3,75
Δ=3136-4*16*49=3136-3136=0
x=-b/2a
x=56/32=1,75
Δ=4-4*(-1)*2=4+8=12
√Δ=√12=2√3
x1=(2-2√3)/-2
x2=(2+2√3)/-2
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Zad. 2.81.
3x²+7x-20=0
Δ=49-4*3*(-20)=49+240=289
√Δ=17
x1=(-7-17)/6=-4
x2=(-7+17)/6=5/3
Zad. 2.82.
2x²+9x-35=0
Δ=81-4*2*(-35)=81+280=361
√Δ=19
x1=(-9-19)/4=-7
x2=(-9+19)/4=5/2
-x+5x-15=0
-x+5x=15
4x=15
x=3,75
16x²-56x+49=0
Δ=3136-4*16*49=3136-3136=0
x=-b/2a
x=56/32=1,75
-x²-2x+2=0
Δ=4-4*(-1)*2=4+8=12
√Δ=√12=2√3
x1=(2-2√3)/-2
x2=(2+2√3)/-2