Rozwiąż równaniea)4x2(kwadrat)-9=0b)-6xkwadrat+13x+5=0c)2xkwadrat-9x-35=0d)x do potegi 4 - 8x kwadrat + 16=0
a) (2x-3)(2x+3)=0
x=3/2 x=-3/2
b) delta = 169+120 = 289
x1=(-13-17)/-12 = 30/12 = 15/6=5/2
x2=(-13+17)/-12= 4/-12= -1/3
c) delta = 81+280=361
x1=(9-19)/4= -10/4= -5/2
x2=(9+19)/4= 28/4=7
d) x^2 = t
t^2 -8t+16 = 0
delta = 64-64=0
t0=8/2=4
Za t podstawiamy t0
x^2 = 4
x^2-4=0
(x-2)(x+2)=0
x=2 x=-2
rozwiazanie w zalaczniku
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a) (2x-3)(2x+3)=0
x=3/2 x=-3/2
b) delta = 169+120 = 289
x1=(-13-17)/-12 = 30/12 = 15/6=5/2
x2=(-13+17)/-12= 4/-12= -1/3
c) delta = 81+280=361
x1=(9-19)/4= -10/4= -5/2
x2=(9+19)/4= 28/4=7
d) x^2 = t
t^2 -8t+16 = 0
delta = 64-64=0
t0=8/2=4
Za t podstawiamy t0
x^2 = 4
x^2-4=0
(x-2)(x+2)=0
x=2 x=-2
rozwiazanie w zalaczniku