SOLUTION: square root 3 * square root x + 1 = square root 3x - 5
Algebra.Com
Question 70146This question is from textbook College Algebra Essentials
: square root 3 * square root x + 1 = square root 3x - 5
This question is from textbook College Algebra Essentials
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
square root 3 * square root x + 1 = square root 3x - 5
:
Assume you mean:
Sqrt(3)* Sqrt(x) + 1 = Sqrt(3x) - 5
:
Sqrt(3x) = Sqrt(3x) - 5 - 1
Sqrt(3x) = Sqrt(3x) - 6
:
Square both sides, FOIL (Sqrt(3x) - 6)^2:
3x = 3x - 12Sqrt(3x) + 36
3x - 3x - 36 = -12Sqrt(3x)
-36 = -12Sqrt(3x)
:
Mult eq by -1, get rid of the negatives:
36 = 12Sqrt(3x)
:
Square both sides:
1296 = 144(3x)
1296 = 432x
x = 1296/433
x = 3
:
Check solution in original equation
Sqrt(3)* Sqrt(x)+ 1 = Sqrt(3x) - 5
Sqrt(3)* Sqrt(3)+ 1 = Sqrt(3*3) - 5
3 + 1 = 9 - 5
RELATED QUESTIONS
Square root 3x+3 plus square root x+2 = 5
(answered by jim_thompson5910)
Solve
The square root of x+1, Under the square root of 3=the square root of... (answered by edjones)
square root of 3x^3 + 3x square root of... (answered by Alan3354)
Solve: square root(3x+1)=1-square... (answered by stanbon)
Multiply
square root 7 (square root 5 - square root... (answered by dabanfield)
Multiply
square root 7 (square root 5 - square root... (answered by stanbon)
solve:
1+square root(x+7)=square... (answered by ankor@dixie-net.com)
2 square root 1-3x-square root... (answered by nyc_function)
square root(2x-1) - square root(x+3) = 1... (answered by stanbon)