Odpowiedź:
1.102
a)
(3x- 4)/2 = (4x - 5)/3
3(3x - 4)=2(4x - 5)
9x - 12 = 8x - 10
9x- 8x = - 10 + 12
x = 2
c)
2/x² = 1/3
założenie:
x ≠ 0
D: x ∈ R \ {0}
x² = 2 * 3 = 6
x² - 6 = 0
(x - √6)(x + √6) = 0
x = √6 ∨ x = - √6
f)
3(x - 11)/4 = 3(x + 1)/5 - 2(2x- 5)/11/4
(3x- 33)/4 = [11 * 3(x + 1) - 5 * 2(2x- 5)]/55
(3x- 33)/4 = [33(x + 1) - 10(2x - 5)]/55
(3x- 33)/4= (33x + 33 - 20x + 50)/55
(3x-33)/4 = (13x + 83)/55
55(3x - 33) = 4(13x + 83)
165x - 1815 = 52x + 332
165x- 52x = 332 + 1815
113x = 2147
x = 2147/113 = 19
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Verified answer
Odpowiedź:
1.102
a)
(3x- 4)/2 = (4x - 5)/3
3(3x - 4)=2(4x - 5)
9x - 12 = 8x - 10
9x- 8x = - 10 + 12
x = 2
c)
2/x² = 1/3
założenie:
x ≠ 0
D: x ∈ R \ {0}
x² = 2 * 3 = 6
x² - 6 = 0
(x - √6)(x + √6) = 0
x = √6 ∨ x = - √6
f)
3(x - 11)/4 = 3(x + 1)/5 - 2(2x- 5)/11/4
(3x- 33)/4 = [11 * 3(x + 1) - 5 * 2(2x- 5)]/55
(3x- 33)/4 = [33(x + 1) - 10(2x - 5)]/55
(3x- 33)/4= (33x + 33 - 20x + 50)/55
(3x-33)/4 = (13x + 83)/55
55(3x - 33) = 4(13x + 83)
165x - 1815 = 52x + 332
165x- 52x = 332 + 1815
113x = 2147
x = 2147/113 = 19