Question 172938
{{{sqrt (10 + x) = -1 - sqrt (11 - 5x)}}}


Square both sides:


{{{10+x=1+2sqrt(11-5x)+11-5x}}}


Collect like terms:


{{{-2+6x=2sqrt(11-5x)}}}


Square both sides again:


{{{4-24x-36x^2=4(11-5x)}}}


Collect like terms and put into standard form:
:
solver was right up to this point
he zigged when he should have zagged...so easy to do in math...he forgot to add the 20x from the right side to the left side.
......so the final equation should be
:
{{{36x^2-4x-40=0}}}
:
{{{9x^2-x-10=0}}}reduced divided terms by 4
:
solutions{{{system(x=1.111111,x=-1)}}} 
:
both solutions work in original equation.
{{{sqrt(10-1)=-1-sqrt(11-5(-1))}}}
{{{3=3}}}
:
{{{sqrt(10+1.111)=-1-sqrt(11-5(1.1111))}}}
{{{3.33=3.33}}}

*[invoke solve_quadratic_equation 9, -1, -10]