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2x(x-3)=0
2x=0 lub x-3=0
x1=0/2=0 x2=0+3=3
b.3x+4x^=0
4x²+3x=0
a=4, b=3, c=0
Δ=b²- 4ac=9-0=9
√Δ=√9=3
x1= -b-√Δ/2a
x1= -3-3/8
x1= -6/8
x1= -3/4
x2= -b+√Δ/2a
x2= -3+3/8
x2= 0/8
x2= 0
c.5x=10x²
-10x²+5x=0
a= -10, b=5, c=0
Δ=b²- 4ac= 25- 4*(-10)*0=25-0=25
√Δ=√25=5
x1=-b-√Δ/2a
x1= -5-5/-20
x1= -10/-20
x1=1/2
x2= -b+√Δ/2a
x2= -5+5/-20
x2= 0/-20=0
a) 3-2x^=0
-2x²+3=0
a=-2, b=0, c=3
Δ=b²- 4ac=0-4*(-2)*3=0+24= 24
√Δ=√24= √4*6=2√6
x1= -b-√Δ/2a
x1=0-2√6/-4
x1= -2√6/-4
x2= -b+√Δ/2a
x2= 0+2√6/-4
x2= 2√6/-4
to 5 przykład:)
a.4x^-4x+1=0
(2x-1)^=0
2x-1=0
2x=1 /:2
x=1/2 (pierwiastek podwójny)
b.x²-14x+49=0
a=1, b= -14, c=49
Δ=b²- 4ac= 196-4*1*49=196-196=0
x0=-b/2a
x0=14/2
x0=7
c.9x²-6x+1=0
a=9, b= -6, c=1
Δ=b²- 4ac= 36-4*9*1=36-36=0
x0=-b/2a
x0=6/18
x0=1/3
a)10-5/4x²=0
-5/4x²+10=0
a= -5/4, b=0, c= 10
Δ=b²- 4ac= 0+4*4/5*10=0+5*10 (bo 4 i 4 się skrócą)=50
√Δ=√50
x1= -b-√Δ/2a
x1= 0 - √50/-5/2
x1= - √50/-5/2
x1= -b+√Δ/2a
x1= 0 + √50/-5/2
x1= √50/-5/2
a.4x^-5x=0
a=4, b=-5, c=0
Δ=b²- 4ac=25-4*4*0=25
√Δ=5
x1= -b-√Δ/2a
x1=5-5/8
x1=0
x2= -b+√Δ/2a
x2= 5+5/8
x2=10/8
x2=5/4