Question

rownania kwadratowe. w załącznikach. niech ktoś pomoże ;)

Answer 1

b)

(x-4)²=(x-4)(2x-1)

x²-8x+16=2x²-x-8x+4

x²-8x+16=2x²-9x+4

x²-x-12=0

Δ=1+48=49

√Δ=7

x₁=1+7/2=4

x₂=1-7/2=-3

c)

(3x-2)²-x²-2x=1

9x²-12x+4-x²-2x-1=0

8x²-14x+3=0

Δ=196-96=100

√Δ=10

x=14+10/16=1,5

x=14-10/16=-1/4

d)x²-x(2-x)=0

x²-2x+x²=0

2x²-2x=0

2x(x-1)=0

x=0 x=1

e)

(4-3x)²=16-3x²

16-24x+9x²-16+3x²=0

12x²-24x=0

12x(x-2)=0

x=0 x=2

f)

(1-3x)²+3x-4x²=9

1-6x+9x²+3x-4x²-9=0

5x²-3x-8=0

Δ=9+160=169

√Δ=13

x=3+13/10=1,6

x=3-13/10=-1

g)

(3x+2)²=7(3x+2)

9x²+12x+4-21x-14=0

9x²-9x-10=0

Δ=81+360=441

√Δ=21

x=9+21/18=30/18

x=9-21/18=-12/18

h)

(x+6)(x-2)=9

x²+4x-12-9=0

x²-4x-21=0

Δ=16+48=64

√Δ=8

x=4+8/2=6

x=4-8/2=-2