Question

X nr natural, x=? a) x supra 3 egal 12 supra x, b) 5 supra x egal x supra 5, c) 3x supra 5 egal 15 supra x, d) 7 supra 2x egal x supra 14, e) 20 supra x egal x supra 5, f) 3 supra x egal x supra 3, g) 100 supra x egal x supra 1, h) 2 supra 3x egal x la puterea 2 supra 96​

Answer 1

a) x/3 = 12/x

x^2 = 3*12

x^2  = 36

x = V36

x= 6 sau -6

b) 5/x = x/5

x^2 = 25

x= V25

x= 5 sau -5

c) 3x/5 = 15/x

3x^2 = 75

x^2 = 25

x= V25

x= 5  sau -5

d) 7/2x = x/14

2x^2 = 7*14

2x^2 = 98

x^2 = 49

x= 7 sau -7

e) 20/x = x/5

x^2 = 20*5

x^2 = 100

x=V100

x= 10 sau -10

f) 3/x = x/3

x^2 = 9

x = V9

x= 3 sau -3

g) 100/x = x/1

x^2 = 100

x= 10 sau -10

h) 2/3x = x^2/96

3x^3 = 2*96

2x^3 = 192

x^3 = 96

x= ∛96