SOLUTION: 3x + 10 under the radical followed by = 5-2x i know the quadriatic formula should be used but im confused

Question 78504: 3x + 10 under the radical followed by = 5-2x i know the quadriatic formula should be used but im confused
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!

First, square both sides of the equation to get rid of that square root sign:

Simplify the right side of the equation:

Combine like terms and equate to zero:

Apply the quadratic formula:

Simplify:

Simplify some more:

This equation has two roots. Solve for x using the "+" condition
and the "-" condition separately. You get:
for the "+" case, and
for the "-" case
Now, this part is important...you need to plug these answers back in to
the original equation to be sure they are not "extraneous." An extraneous
root may be mathematically correct, but it is not the true answer. If you
plug x=5 back into the original equation, you will see that the equation
DOES NOT hold true. Hence, this is an extraneous root. If you plug 3/4 back
into the original equation, you will see that the equation DOES hold true,
so that one is your answer.
RELATED QUESTIONS
im having trouble with 2 radical 7 over 3 radical 5 + 5 radical 3. I know to multiply... (answered by ptaylor)

9x>-9 What is the solution. Type the inequality symbol, followed by the solution.... (answered by Mathtut)

1/(1-8x)= 5 the parenthesis are not supposed to be parenthesis, they are supposed to... (answered by ankor@dixie-net.com)

Im having trouble setting up my radical problem. {{{ little 3 outside the square root... (answered by stanbon)

im sorry i dont know how to make a radical sign, but the question is to simplify 100 over (answered by checkley71)

i need help pleas use the quadriatic formula to solve each of the following quadratic... (answered by stanbon)

I am a little confused on this. I know I divide by 3x + 2 but I get confused on the signs (answered by ankor@dixie-net.com)

solve the following quadriatic equation by completing the square x(squared)... (answered by mananth)

Complete the square in graphing form: y = x^2 - 7x + 5? How to solve this? I think I... (answered by nerdybill)