Question

Oblicz:
pierwiasteek(144+25)
(3-pierwiastek3)^2
rozwiaz
/x-5\=3 /x-4\>2
oblicz
log3 9,log2 1/128

Answer 1

√(144 + 25) = √169 = √13² = 13

( 3 - √3)² = 3² - 2 * 3 * √3 + √3² = 9 - 6√3 + 3 = 12 - 6√3

 

|x - 5| = 3

x - 5 = 3    lub  x - 3 = -5

x = 3 + 5          x = -5 + 3

x = 8                x = -2

 

|x - 4| > 2

x - 4 > 2    lub   x - 4 < - 2

x > 2 + 4           x < - 2 + 4

x > 6                 x < 2

odp.  x ∈ (-oo, 2) u (6, +oo)

 

log3 9 = log3 3² = 2 * log3 3 = 2 * 1 = 2

log2 1/128 = log2 (1/2)^7 = log2 2^(-7) = - 7