Question 1127871

If i'm getting this right, there is no solution except (- infinity, infinity) ?

The J has a SUBscript 0 next to it. 'Solve the following equation for b.'

{{{ J0 = (5b4sqrt(3))/16 }}}
<pre>{{{matrix(1,3, J[o], "=", (5b^4sqrt(3))/16)}}}
{{{matrix(1,3, 5b^4sqrt(3), "=", 16J[o])}}} ----- Cross-multiplying
{{{matrix(1,3, b^4, "=", 16J[o]/(5sqrt(3)))}}} -------- Dividing by {{{5sqrt(3)}}}
{{{matrix(1,3, root (4, (b^4)), "=", " "+- root (4, (16J[o]/5sqrt(3))))}}} ------- Taking the 4th root
{{{highlight_green(matrix(1,5, b, "=", " "+- 2 * root(4, J[o])/root (4, 5sqrt(3)), or,
" "+- 2 * (J[o])^(1/4)/(""5sqrt(3))^(1/4)))}}}
If you want to, you can simplify further by RATIONALIZING the DENOMINATOR.