2x³=4x²
6x³+9x²=3x⁴
a)
2x^3 = 4x^2 /:2
x^3 = 2x^2
x^3 - 2x^2 = 0
x^2(x-2) = 0
x = 0
lub
x = 2
x = 0 v x = 2
b)
6x^3 + 9x^2 = 3x^4
-3x^4 + 6x^3 + 9x^2 = 0 /:(-3)
x^4 - 2x^3 -3x^2 = 0
x^2(x^2 - 2x - 3) = 0
xo = 0
lub:
x^2 - 2x -3 = 0
D(delta) = b^2 -4ac = 4+12 = 16
VD = 4
x1 = (-b-VD)/2a = (2-4)/2 = -1
x2 = (-b+VD)/2a = (2+4)/2 = 3
x = -1, v x = 0, v x = 3
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a)
2x^3 = 4x^2 /:2
x^3 = 2x^2
x^3 - 2x^2 = 0
x^2(x-2) = 0
x = 0
lub
x = 2
x = 0 v x = 2
b)
6x^3 + 9x^2 = 3x^4
-3x^4 + 6x^3 + 9x^2 = 0 /:(-3)
x^4 - 2x^3 -3x^2 = 0
x^2(x^2 - 2x - 3) = 0
xo = 0
lub:
x^2 - 2x -3 = 0
D(delta) = b^2 -4ac = 4+12 = 16
VD = 4
x1 = (-b-VD)/2a = (2-4)/2 = -1
x2 = (-b+VD)/2a = (2+4)/2 = 3
x = -1, v x = 0, v x = 3