<PRE><B>Question 1039928</B>
solve the radical equation and check all proposed solutions
{{{sqrt(28x+28) = x+8}}}
Square both sides
{{{28x+28 = (x+8)^2}}}
FOIL (x+8)(x+8)
{{{28x+28 = x^2+16x+64}}}
form a quadratic equation on the right
0 = x^2 + 16x - 28x + 64 - 28
0 = x^2 - 12x + 26
This will not factor, use the quadratic formula: a=1; b=-12; c=26
I got approx solutions
x = 2.83772
x = 9.16228
:
Check both solution in the original equation</PRE>