Question 1039928: solve the radical equation and check all proposed solutions
sqr symbol over 28x+28 = x+8 Found 2 solutions by ankor@dixie-net.com, ikleyn:Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website! solve the radical equation and check all proposed solutions
Square both sides
FOIL (x+8)(x+8)
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 Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website! .
solve the radical equation and check all proposed solutions
sqr symbol over 28x+28 = x+8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
=
Square both sides
= ,
= .
Form a quadratic equation on the right
0 = x^2 + 16x - 28x + 64 - 28,
0 = x^2 - 12x + 36,
= .
The solution is x = 6 of multiplicity 2.