Question

Zadania w załączniku .
Za odpowiedź bezbłędną daje najlepszą i 5 gwiazdek.

Answer 1

Zadanie 20

c)
(x+4)²+(x+8)/2 = 0,5x(2x-6)+3(x+1)
x²+8x+16+0,5x+4 = x²-3x+3x+3
8,5x+20 = 3
8,5x = 3-20
8,5x = -17 |:8,5
x = -2

d)
(2x-1)²+5 = 4x(x-2)-2(2x+1)
4x²-4x+1+5 = 4x²-8x-4x-2
-4x+6 = -12x-2
-4x+12x = -2-6
8x = -8 |:8
x = -1


zadanie 21

a)
(x-3)²-(x-3)/2 = (x+1)²+x
x²-6x+9-(0,5x-1,5) = x²+2x+1+x
-6x+9-0,5x+1,5 = 3x+1
-6,5x+10,5 = 3x+1
-6,5x-3x = 1-10,5
-9,5x = -9,5 |:(-9,5)
x = 1

b)
(2x-3)²+0,5(x-10) = (2x-4)(2x+4)-2(x-10)
4x²-12x+9+0,5x-5 = 4x²-16-2x+20
-11,5x+4 = -2x+4
-11,5x+2x = 4-4
-9,5x = 0 |:(-9,5)
x = 0

c)
(x+1)(x-1)-1/3(2x-6) = (x-5)²+0,5(3x+5)-3
x²-1-2/3x+2 = x²-10x+25+1,5x+2,5-3
-2/3x+1 = -8,5x+24,5
-4/6x+8i3/6x = 24,5-1
7i5/6x = 23i1/2
47/6x = 47/2 |:47/6
x = 6/2
x = 3

d)
(4+x)²+1/3(x+5) = (x-1)²+2x
16+8x+x²+1/3x+1i2/3 = x²-2x+1+2x
8i1/3x+17i2/3 = 1
8i1/3x = 1-17i2/3x
8i1/3x = -16i2/3 |:8i1/3
x = -2