September 2018 1 19 Report

Rozwiąż równania:

a) 2x2 + (x+5)2 – 2(x-7)2 = 2(3x – 72,5) + (x-6)2
b) x = 1 - √ 2x
c) 3x + πx - π – 3
d) 3x – 3 = 2√2x + 2√2
e) x (√2+3) = 2√2 +4x
f) 3x = 2+√5 + x√5
g) x + √2 = π – 3x
h) (x + √2)(1 - √2) = -1
i) (√5 – x) (2 + √5) = 3√5 + 7
j) (3 - √3) (3x + √3) = 0
k) (1 - 2√3) (x-1) = 2√3 – 1

NIERÓWNOŚCI:
a) x (x-2) (x+5) < 5 + x2 (x+3)
b) 3√2 – x > 1+ 2√2
c) 2√5x <2x + 1
d) 3x + 3 < πx + π


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