Question

Solve for x. The radical equation is below.

Answer 1

The answer is the last one

Answer 2

`x = -(3\sqrt3)/(2)`

Explanation:

Hello!

Solve for x by isolating the variable.

Solve for x

• 
  `√(12)(\sqrt3 - x) = 15`
• 
  `√(36) - x√(12) = 15`
• 
  `6 - x√(12) = 15`
• 
  `-x√(12) = 9`
• 
  `x = -(9)/(\sqrt12)`

Rationalize the Denominator:

• 
  `x = -(9)/(\sqrt12)*(√(12))/(√(12))`
• 
  `x = -(9√(12))/(12)`
• 
  `x = -\frac{{9*2\sqrt3}}{12}`
• 
  `x = -(18\sqrt3)/(12)`
• 
  `x = -(3\sqrt3)/(2)`

The solution for x is
`x = -(3\sqrt3)/(2)`.