**2.91 Rozwiąż równania:
a)
b)
c)
d) =
a) (√10 + x)² + (√10 - x) = (1/3)²
10 + x + 10 - x = 1/9
20 = 1/9
b) (√17 + x)² + (√17 - x)² = (x/4)²
17 + x + 17 - x = x²/16
34 = x²/16 /*16
544 = x²
x = √544
x ~ 23,3
c) (√5 + x)² + (√5 - x)² = x²
5 + x + 5 - x = x
10 = x²
x = √10
x ~ 3,15
d) (√20 + x)² + (√20 - x)² = (x/2)²
20 + x + 20 - x = x²/4
40 = x²/4 /*4
160 = x²
x = √160
x ~ 12,6
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2025 KUDO.TIPS - All rights reserved.
a) (√10 + x)² + (√10 - x) = (1/3)²
10 + x + 10 - x = 1/9
20 = 1/9
b) (√17 + x)² + (√17 - x)² = (x/4)²
17 + x + 17 - x = x²/16
34 = x²/16 /*16
544 = x²
x = √544
x ~ 23,3
c) (√5 + x)² + (√5 - x)² = x²
5 + x + 5 - x = x
10 = x²
x = √10
x ~ 3,15
d) (√20 + x)² + (√20 - x)² = (x/2)²
20 + x + 20 - x = x²/4
40 = x²/4 /*4
160 = x²
x = √160
x ~ 12,6