Question

determinati numarul real x>0 din proportii
5 supra x =25supra6
x supra 9 = 1supra x
16 supra x=x supra 25
x supra 2 = 3 supra x

Answer 1

1)5/x=25/6, x=5*(6/25), x=5*6/25, x=6/5 ( se simplifica cu 5 si la numitor si la numarator)
2)x/9=1/x, x*x=1*9, x²=3², x=3
3)16/x=x/25, x*x=16*25, x²=4²*5², x²=(4*5)², x²=20², x=20
4)x/2=3/x, x*x=2*3, x²=6, x=√6