Pilne!!! Na poniedziałek. Daję najlepszą ;-). Treść w załączniku.
zad 1
3x + (2y -5x ) = 3x +2y -5x = -2x +2y
zad 2
5x (2x+3y)=10x² + 15xy
10 *1² + 15 *1*(-0,5) = 10 - 7,5= 2,5
zad 3
zad 4
(√x + y² )(√x - y²) =x-y⁴
⅓-(-⅓)⁴= ⅓ - 1/81 = 4/81-1/81=3/81=1/27
zad 5
-(3x+5)² +(4x+5)(5-4x)=-9x²-30x-25+16x²-25 = 7x²-30x -50
zad 6
(a+b)c-ab=ac+bc-ab
11*5 +9*5 - 11*9 = 55 + 45 - 99 =0
zad 7
=(3²+3*2-2²)/2*3*2 = (9+6-4)/12 = 11/12
zad 8
(x-√5)²-(2x+√5 ) +4(√6+x)=
=x²-2√5+5-2x-√5+4√6+4x=
=x²-2x-3√5+4√6
(-√5)² - 2 *(-√5 ) -3√5 + 4√6 = 5 +2√5 -3√5 + 4√6= 5 -√5 +4√6
zad 9
2(x+3)² - 4(x²-5x ) = 2 (x²+6x+9)-4x²+20x = 2x² +12x +18 -4x² +20x = -2x² +32x +18
zad 10
x=1852y
zad 11
a ) 5 (a-4)² + 2a² = 5(a²-8a+16)+2a² = 5a² -40a+80 +2a² =7a² -40a+80
b) (x+6)(x-6)=x²-36
zad 12
a) v=s/t |*t
vt=s |:v
t=s/v
b)gR=Mx/W |*W
gRW=Mx |:gR
W=Mx/gR
c) s=vt +(at²/2) |*2
2s=2vt +at² |-2vt
2s-2vt=at² |:t²
a=(2s-2vt)/t²
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zad 1
3x + (2y -5x ) = 3x +2y -5x = -2x +2y
zad 2
5x (2x+3y)=10x² + 15xy
10 *1² + 15 *1*(-0,5) = 10 - 7,5= 2,5
zad 3
zad 4
(√x + y² )(√x - y²) =x-y⁴
⅓-(-⅓)⁴= ⅓ - 1/81 = 4/81-1/81=3/81=1/27
zad 5
-(3x+5)² +(4x+5)(5-4x)=-9x²-30x-25+16x²-25 = 7x²-30x -50
zad 6
(a+b)c-ab=ac+bc-ab
11*5 +9*5 - 11*9 = 55 + 45 - 99 =0
zad 7
=(3²+3*2-2²)/2*3*2 = (9+6-4)/12 = 11/12
zad 8
(x-√5)²-(2x+√5 ) +4(√6+x)=
=x²-2√5+5-2x-√5+4√6+4x=
=x²-2x-3√5+4√6
(-√5)² - 2 *(-√5 ) -3√5 + 4√6 = 5 +2√5 -3√5 + 4√6= 5 -√5 +4√6
zad 9
2(x+3)² - 4(x²-5x ) = 2 (x²+6x+9)-4x²+20x = 2x² +12x +18 -4x² +20x = -2x² +32x +18
zad 10
x=1852y
zad 11
a ) 5 (a-4)² + 2a² = 5(a²-8a+16)+2a² = 5a² -40a+80 +2a² =7a² -40a+80
b) (x+6)(x-6)=x²-36
zad 12
a) v=s/t |*t
vt=s |:v
t=s/v
b)gR=Mx/W |*W
gRW=Mx |:gR
W=Mx/gR
c) s=vt +(at²/2) |*2
2s=2vt +at² |-2vt
2s-2vt=at² |:t²
a=(2s-2vt)/t²