SOLUTION: I tried to solve this equation but keep getting the wrong answer. I need to do the following: Solve the equation for the exact irrational root. Problem: X times square root(2) +

Algebra ->  Equations -> SOLUTION: I tried to solve this equation but keep getting the wrong answer. I need to do the following: Solve the equation for the exact irrational root. Problem: X times square root(2) +       Log On


   

Question 147606: I tried to solve this equation but keep getting the wrong answer. I need to do the following:
Solve the equation for the exact irrational root.
Problem: X times square root(2) + 4 = square root(3)
Please help, this is my last problem out of a 150.
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Asqrt%282%29%2B4=sqrt%283%29 Start with the given equation.


x%2Asqrt%282%29=sqrt%283%29-4 Subtract 4 from both sides.


x=%28sqrt%283%29-4%29%2Fsqrt%282%29 Divide both sides by sqrt%282%29 to isolate x.


x=%28%28sqrt%283%29-4%29%2Fsqrt%282%29%29%28sqrt%282%29%2Fsqrt%282%29%29 Multiply both the numerator and denominator by sqrt%282%29


x=%28%28sqrt%283%29-4%29sqrt%282%29%29%2F%28sqrt%282%29sqrt%282%29%29 Combine the fractions.


x=%28%28sqrt%283%29-4%29sqrt%282%29%29%2F%282%29 Multiply sqrt%282%29sqrt%282%29 to get sqrt%282%29sqrt%282%29=sqrt%282%2A2%29=sqrt%282%5E2%29=2


x=%28sqrt%283%29sqrt%282%29-4%2Asqrt%282%29%29%2F%282%29 Distribute



x=%28sqrt%286%29-4%2Asqrt%282%29%29%2F%282%29 Combine and multiply the square roots.


So our answer is x=%28sqrt%286%29-4%2Asqrt%282%29%29%2F%282%29