The question is:
The numbers X, Y and Z satisfy Y^2 = XZ
Find Z if X = sq.root 3 and Y = 1-sq.root 3
here's what I did so far: taking the Y value (1-sq.rt 3) and squaring it gave me 1 -2x sq.rt 3 +3 = 4 - 2xsq.rt3 (if I got that right!!)
Here's where I get stuck: so, to get Z, I need a number that multiplies with X (which is sq.rt3) to make Y^2 above.
So: Z = (4-2.sqrt3)/sqrt3 and I got 4/sqrt3 - 2
This is NOT the naswer in my book, so I've gone wrong somewhere maybe in the division process because I divided 2.sqrt3 by sqrt3 and assumed it to be -2
ANy pointers to help me, welcome! Thanks (apologies for doing square root three ways, I eventually settled on sqrt!
The numbers X, Y and Z satisfy Y^2 = XZ
Find Z if X = sq.root 3 and Y = 1-sq.root 3
here's what I did so far: taking the Y value (1-sq.rt 3) and squaring it gave me 1 -2x sq.rt 3 +3 = 4 - 2xsq.rt3 (if I got that right!!)
Here's where I get stuck: so, to get Z, I need a number that multiplies with X (which is sq.rt3) to make Y^2 above.
So: Z = (4-2.sqrt3)/sqrt3 and I got 4/sqrt3 - 2
This is NOT the naswer in my book, so I've gone wrong somewhere maybe in the division process because I divided 2.sqrt3 by sqrt3 and assumed it to be -2
ANy pointers to help me, welcome! Thanks (apologies for doing square root three ways, I eventually settled on sqrt!