<PRE><B>Question 304563</B>
What does x equal when 
(5x+5)^1/2-5=3x

(5x + 5)^1/2 = 3x + 5 (square both sides)
5x + 5 = (3x + 5)^2 (use FOIL on right side)
5x + 5 = (3x)^2 + 2*3*5*x + 25
5x + 5 = 9x^2 + 30x + 25
0 = 9x^2 + 25x + 20
use quadratic formula, a=9, b=25, c=20
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (-25 +- sqrt(25^2 - 4*9*20))/(2*9) }}}
{{{x = (-25 +- sqrt(625 - 720))/18 }}}
{{{x = (-25 +- sqrt(-95))/18 }}}
{{{x = (-25/18) +- sqrt(-1 * 95)/18 }}}
{{{x = (-25/18) +- (sqrt(95)/18)i }}}
{{{x = -1.3889 +- 0.5415i }}}
rounded to 4 places
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