WIELOMIANY , KLASA MATURALNA
x^4 - 3x^3 = 3 - x
x^6 = (2x)^3
27X^7 = -8x^4
x^4 - 3x^3 + x - 3 = 0
x^3(x-3) + (x-3) = 0
(x^3 +1)(x-3) = 0
X^3 + 1 = 0
x^3 = -1
x = -1
lub
x-3 = 0
x = 3
Odp. x = -1 v x = 3
x^6 = 8x^3
x^6 - 8x^3 = 0
x^3(x^3 -8) = 0
x = 0
x^3 - 8 = 0
x^3 = 8
x^3 = 2^3
x = 2
Odp. x = 0 v x = 2
27x^7 = -8x^4
27x^7 + 8x^4 = 0
x^4(27x^3 + 8) = 0
27x^3 + 8 = 0
27x^3 = -8 /:27
x^3 = -8/27
x^3 = -(2/3)^3
x = -2/3
Odp. x = -2/3 v x = 0
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x^4 - 3x^3 = 3 - x
x^4 - 3x^3 + x - 3 = 0
x^3(x-3) + (x-3) = 0
(x^3 +1)(x-3) = 0
X^3 + 1 = 0
x^3 = -1
x = -1
lub
x-3 = 0
x = 3
Odp. x = -1 v x = 3
x^6 = (2x)^3
x^6 = 8x^3
x^6 - 8x^3 = 0
x^3(x^3 -8) = 0
x = 0
lub
x^3 - 8 = 0
x^3 = 8
x^3 = 2^3
x = 2
Odp. x = 0 v x = 2
27x^7 = -8x^4
27x^7 + 8x^4 = 0
x^4(27x^3 + 8) = 0
x = 0
lub
27x^3 + 8 = 0
27x^3 = -8 /:27
x^3 = -8/27
x^3 = -(2/3)^3
x = -2/3
Odp. x = -2/3 v x = 0