Question

rozwiaz rownania wielomianów a) 3X²+2X²+x = 0 b) x³+X²+x+1 = 0 c)2 X² + x = 0

Answer 1

a)

3x²+2x²+x = 0

5x² + x = 0

x(5x + 1) = 0

x = 0   lub  5x + 1 = 0

                   5x = -1

                    x = -1/5

odp. x = 0   lub  x = -1/5

 

b)

x³+X²+x+1 = 0

x²(x + 1) + (x + 1) = 0

(x + 1)(x² + 1) = 0

x + 1 = 0   lub  x² + 1 = 0

x = -1                x² = -1

                           równanie spprzeczne

odp. x = -1

 

c)

2x² + x = 0

x(2x  +1) = 0

x = 0   lub   2x + 1 = 0

                    2x = -1

                     x = -1/2

odp.  x =0   lub  x = -1/2