Question 882549
Positive solution:
{{{abs(4x-3)=4x-3}}}
Then,
{{{4x-3=5*sqrt(x+4)}}}
{{{(4x-3)^2=25(x+4)}}}
{{{16x^2-24x+9=25x+100}}}
{{{16x^2-49x-91=0}}}
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (49 +- sqrt( (-49)^2-4*16*(-91) ))/(2*16) }}}
{{{x = (49 +- sqrt( 2401 +5824 ))/(32) }}}
{{{x = (49 +- sqrt( 8225))/(32) }}}
{{{highlight_green(x = (49 +- 5*sqrt( 329))/(32)) }}}
.
.
.
Negative solution:
{{{abs(4x-3)=-(4x-3)}}}
{{{-(4x-3)=5*sqrt(x+4)}}}
{{{4x-3)^2=25(x+4)}}}
Hey, this is the same as above.