Question

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

Answer 1

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

Answer 2

Did you try squaring both sides?

Answer 3

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

Answer 4

yeah but got a bit confused by the first b

Answer 5

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

Answer 6

what would the next step be then?

Answer 7

divide by the 2 or add the two

Answer 8

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

Answer 9

oooh thank you! what about that first two though?

Answer 10

b=2?

Answer 11

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