solve for y?

Question

z=0.3(y-6)^2

please can you explain your working,

Many thanks,

Wendy.

* Algebra - drwls, Friday, November 20, 2009 at 9:40am

(10/3)z = (y-6)^2
y = sqrt[(10/3)z] +6
= 1.826 sqrt z + 6

* Algebra - wendy, Friday, November 20, 2009 at 9:47am

I'm sorry. Really don't understand this. Where did the 10/3 come from in the first step?

Answer 1

.3 is 3/10
if you move that across the equal sign, you get
z=3/10 sqrt( )
10/3 z= sqrt ( )
then square both sides
(10/3 z)^2=y-6
y= (10/3 z)^2+6