Rozwiąż równanie
a)
b)
c)
d)
e)
x^2-6x+9=243
x^2-6x-234=0
Δ=36+936=972
√Δ =18√3
x_1=(6+18√3)/2
x_2=(6-18√3)/2
x²+2x+1=4
x²+2x-3=0
Δ=4+12=16
√Δ=4
x_1=-2+4/2=1
x_2=-2-4/2=-3
25x²-70x+49=9
25x²-70x+40=0
Δ=4900-4900=0
-b/2a=70/50=7/5
5x³=525
x³=175
x=∛175
Δ=64
√Δ=8
x_1=8+8/2=8
x_2-8-8/2=0
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Rozwiąż równanie
a)
x^2-6x+9=243
x^2-6x-234=0
Δ=36+936=972
√Δ =18√3
x_1=(6+18√3)/2
x_2=(6-18√3)/2
b)
x²+2x+1=4
x²+2x-3=0
Δ=4+12=16
√Δ=4
x_1=-2+4/2=1
x_2=-2-4/2=-3
c)
25x²-70x+49=9
25x²-70x+40=0
Δ=4900-4900=0
-b/2a=70/50=7/5
d)
5x³=525
x³=175
x=∛175
e)
Δ=64
√Δ=8
x_1=8+8/2=8
x_2-8-8/2=0