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x²(x-5)-(x-5)=0
(x+1)(x-1)(x-5)=0
x=-1 x=1 x=5
b]=
x²(x+2)-5(x+2)=0
(x+√5)(x-√5)(x+2)=0
x=-√5 x=√5 x=-2
c]=
x²(x+2)-4(x+2)=0
(x+2)(x-2)(x+2)=0
x=2 x=-2
d]=
x²(x-4)+2(x-4)=0
(x²+2)(x-4)=0
x=4
2a]=
[ 2³*2 do potegi -5*2] /[ 2 dp potegi 3/2 *2 do potegi -4]= 2 do potegi 3/2=2√2
b]=
[1/5*5*36/25] / [2-3/2]=[1/5-36/5] /1/2=-35/5*2=-14
c]=
[ 3 ^7 ( 4*3-2) ] / 3^7=10
d]=
1-10/3*9/25+1/8*2=1-6/5+1/4=-1/5+1/4=1/20
e]=
[ 2 do potegi -1 x ^8 y³] / 2 do potegi -4=2³x ^8 y³
f]=
x² z do potegi -4 * [ z²/x²]=z do potegi -2
3a]=
[ (x-5)(x+5)] / [ x(x-3) ] * [ ( x-3)(x+3) ] / [ x( x+5) ]= [ (x-5)(x+3) ] /x²
b]=
2/ ( x+1) + x/ [ ( x+1)(x-1)]= [ 2x-2+x] / [ (x+1)(x-1)]= [3x-2] / [ ( x+1)(x-1)]
c]=
[ ( x+4)²-(x-4)²-64] / (x+4)(x-4)=
[ x²+8x+16-x²+8x-16-64] / [(x+4)(x-4)]=[16x-64] /[ ( x+4)(x-4)]=
16(x-4) / [ ( x+4)(x-4)]= 16/ ( x+4)