Math Help - Solving an equation with nested radicals.

1. Solving an equation with nested radicals.

Solve in R :

$\sqrt{4-x\sqrt{4-(x-2)\sqrt{1+(x-5)(x-7)}}}=\frac{5x-6-x^{2}}{2}$

2. Re: Equation!!!

Originally Posted by dhiab
Solve in R :

$\sqrt{4-x\sqrt{4-(x-2)\sqrt{1+(x-5)(x-7)}}}=\frac{5x-6-x^{2}}{2}$

x=2 by trial and error

3. Re: Equation!!!

Originally Posted by dhiab
Solve in R :

$\sqrt{4-x\sqrt{4-(x-2)\sqrt{1+(x-5)(x-7)}}}=\frac{5x-6-x^{2}}{2}$
$1+(x-5)(x-7)=(x-6)^2$
similarly for the rest of the radiclas.

4. Re: Equation!!!

Thank
are you the details?