Solving an equation with nested radicals.

**dhiab** · July 14th 2011, 07:40 AM

Solve in R :

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

**abhishekkgp** · July 14th 2011, 08:43 AM

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

**abhishekkgp** · July 14th 2011, 08:47 AM

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.

**dhiab** · July 14th 2011, 09:05 AM

Thank
are you the details?

Thread: Solving an equation with nested radicals.