Question 335301
{{{sqrt(x-1)+8=8x}}}
{{{sqrt(x-1)=8x-8}}}
{{{sqrt(x-1)=8(x-1)}}}
Square both sides.
{{{x-1=64(x-1)^2}}}
{{{64(x-1)^2-(x-1)=0}}}
{{{(x-1)(64(x-1)-1)=0}}}
{{{(x-1)(64x-65)=0}}}
Two solutions:
{{{x-1=0}}}
{{{highlight(x=1)}}}
.
.
.
{{{64x-65=0}}}
{{{64x=65}}}
{{{highlight(x=65/64)}}}