Question

Rozwiąż następujące równania:
a. (x - 4)(x + 1) + 4(x + 2) = x² - 3
b. (x - 3)(x + 3) - (x - 2)² = 19
c. 3x/2 + x/6 - 2x/9 = 13
d. 5 - x/8 = 18 - 5x / 12
e. (2x - 3)² - (1 - x)(1 + x) + x = (3x - 1)² + (1 - 2x)(2x + 1) - 9
f. ( 1 - 2x)²/5 + (3-x)(x+3)/2 = 4/5(x+2)² - 1/2x(x-2) - 3
g. [(3x - 2)²/2] - (x-1)² + 5/4(x-1)(x+1) - (3 1/2)²

Answer 1

A. (x - 4)(x + 1) + 4(x + 2) = x² - 3
x-4 gghjkhY8


b. (x - 3)(x + 3) - (x - 2)² = 19
c. 3x/2 + x/6 - 2x/9 = 13
d. 5 - x/8 = 18 - 5x / 12
e. (2x - 3)² - (1 - x)(1 + x) + x = (3x - 1)² + (1 - 2x)(2x + 1) - 9
f. ( 1 - 2x)²/5 + (3-x)(x+3)/2 = 4/5(x+2)² - 1/2x(x-2) - 3
g. [(3x - 2)²/2] - (x-. (x - 4)(x + 1) + 4(x + 2) = x² - 3
x-4 gghjkhY8


b. (x - 3)(x + 3) - (x - 2)² = 19
c. 3x/2 + x/6 - 2x/9 = 13
d. 5 - x/8 = 18 - 5x / 12
e. (2x - 3)² - (1 - x)(1 + x) + x = (3x - 1)² + (1 - 2x)(2x + 1) - 9
f. ( 1 - 2x)²/5 + (3-x)(x+3)/2 = 4/5(x+2)² - 1/2x(x-2) - 3
g. [(3x - 2)²/2] - (x-1)² + 5/4(x-1)(x+1) - (3 1/2)²1)² + 5/4(x-1)(x+1) - (3 1/2)²

Answer 2

A. (x - 4)(x + 1) + 4(x + 2) = x² - 3
x²+x-4x-4+4x+8=x²-3
x=-7

b. (x - 3)(x + 3) - (x - 2)² = 19
x²-9 - x²+4x-4=19
4x=32
x=8

c. 3x/2 + x/6 - 2x/9 = 13 |*18
27x+3x-4x=234
26x=234
x=9

d. 5 - x/8 = 18 - 5x / 12 |*24
120 - 3x = 432 - 10x
7x=312
x=44,57

e. (2x - 3)² - (1 - x)(1 + x) + x = (3x - 1)² + (1 - 2x)(2x + 1) - 9
4x²-12x+9-1+x²+x=9x²-6x+1+1-4x²-9
5x= -15
x= -5

f. ( 1 - 2x)²/5 + (3-x)(x+3)/2 = 4/5(x+2)² - 1/2x(x-2) - 3 |*10
2 (1-4x+4x²) + 5 (9-x²) = 8 (x²+4x+4) - 5x (x-2)
2 - 8x + 8x² + 45 - 5x² = 8x² +32x + 32 - 5x² + 10x
- 50x = - 15
x= 0,3