## anonymous 5 years ago bsqrt(2)=sqrt(4b-2)

1. anonymous

(b)sqrt(2)=sqrt(4b-2)

2. anonymous

Did you try squaring both sides?

3. nowhereman

That will work, but you have to restrict the definition set of b.

4. anonymous

yeah but got a bit confused by the first b

5. anonymous

$b\sqrt{2} = \sqrt{4b-2}$ $\implies (b\sqrt{2})^2 = (\sqrt{4b-2})^2$ $\implies b^22 = 4b-2 \text{, for }b>\frac{1}{2}$ etc.

6. anonymous

what would the next step be then?

7. anonymous

divide by the 2 or add the two

8. anonymous

Moving everything to one side to get the equation equal to 0, then use the quadratic equation.

9. anonymous

oooh thank you! what about that first two though?

10. anonymous

b=2?

11. anonymous

If you want to divide the whole thing by 2 you certainly can.