SOLUTION: Solve the following radical equation: I am not sure how to type the square root symbol so I will use the letter "R" "R"(11x+3) +4x=18 I came up with no solution but I am n

Algebra ->  Radicals -> SOLUTION: Solve the following radical equation: I am not sure how to type the square root symbol so I will use the letter "R" "R"(11x+3) +4x=18 I came up with no solution but I am n      Log On


   

Question 593147: Solve the following radical equation:
I am not sure how to type the square root symbol so I will use the letter "R"
"R"(11x+3) +4x=18
I came up with no solution but I am not sure if it is correct.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2811x%2B3%29+%2B4x=18
sqrt%2811x%2B3%29+=-4x%2B18
square both sides
11x%2B3+=+%2818-4x%29%5E2

11x%2B3=+324-144x%2B16x%5E2

16x%5E2-144x-11x%2B324-3=0
16x%5E2-155x%2B321=0

Find the roots of the equation by quadratic formula

a= 16 , b= -155 , c= 321

b^2-4ac= 24025 + -20544
b^2-4ac= 3481
%09sqrt%28%093481%09%29=%0959%09
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( 155 + 59 )/ 32
x1= 6.69
x2=( 155 -59 ) / 32
x2= 3.00

(6.69 OR 3)