Помогите решить!!!!!. Created by kamillaisaeva. algebra-ru

Помогите решить!!!!!...

October 2021 1 5 Report

Помогите решить!!!!!

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m11m 1.
1) -9х²+12х-4=-(9х²-12х+4)=-(3х+2)²=

2) m²-5m+6 =(m-2)(m-3)
m²-5m+6=0
D=25-24=1
m₁=(5-1)/2=2
m₂=6/2=3

3) ¹/₆ x²+ ¹/₂ x+ ¹/₃= ¹/₆(x+2)(x+1)
¹/₆ x²+¹/₂ x+¹/₃=0
умножим на 6:
х²+3х+2=0
Д=9-8=1
х₁=(-3-1)/2=-2
х₂=-2/2=-1

2.
1) х²-11х+24 = (х-3)(х-8) = х-3
х²-64 (х-8)(х+8) х+8
х²-11х+24=0
Д=121-96=25
х₁=(11-5)/2=3
х₂=16/2=8
х²-11х+24=(х-3)(х-8)

2) 3p²+16p-12 = 3(p+6)(p-²/₃)= _ p+6
10-13p-3p² -3(p+5)(p-²/₃) p+5

3p²+16p-12=0
D=256+4*3*12=256+144=400
p₁=(-16-20)/6=-36/6=-6
p₂=(-16+20)/6=4/6=2/3
3p²+16p-12=3(p+6)(p-²/₃)

10-13p-3p²=0
3p²+13p-10=0
D=169+4*3*10=169+120=289
p₁=(-13-17)/6=-5
p₂=4/6=2/3
-3p²-13p+10=-3(p+5)(p-²/₃)

3.
4x²+8x-32 =4(x²+2x-8) = x²+2x-8 = (x+4)(x-2) = x+4 = -15+4 = -11 =11
20x²-80 20(x²-4) 5(x-2)(x+2) 5(x-2)(x+2) 5(x+2) 5(-15+2) -65 65

x²+2x-8=0
D=4+32=36
x₁=(-2-6)/2=-4
x₂=4/2=2
x²+2x-8=(x+4)(x-2)

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