Question 49364
I am only guessing that the comma is an 'x':
sqrt(4x) + 8x + 8 = 0
sqrt(4x) = -8x - 8
4x = (-8x - 8)^2
4x = 64x^2 + 128x + 64
0 = 64x^2 + 124x + 64
0 = 16x^2 + 31x + 16
{{{x = (-b +- sqrt( b^2 - 4*a*c ))/(2*a) }}}
{{{x = (-31 +- sqrt( 961 - 1024 ))/(32) }}} Since the discriminant is a negative number, there is no solution.
{{{graph(600,600,-2,15,-2,200,sqrt(4x)+8x+8,0)}}}
or do you mean:
sqrt(4x + 8) + 8 = 0
sqrt(4x + 8) = -8
4x + 8 = 64
4x = 56
x = 14
If you plug fourteen in, you get 16 = 0. That is not true, so the answer is no solution.