SOLUTION: Solve the radical equation. [SQRT(x + 3)] - [SQRT(x - 2)] =1

Algebra ->  Radicals -> SOLUTION: Solve the radical equation. [SQRT(x + 3)] - [SQRT(x - 2)] =1      Log On


   

Question 958485: Solve the radical equation. [SQRT(x + 3)] - [SQRT(x - 2)] =1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


sqrt%28x%2B3%29-sqrt%28x-2%29=1..............square both sides
%28sqrt%28x%2B3%29-sqrt%28x-2%29%29%5E2=1%5E1
%28sqrt%28x%2B3%29%29%5E2-2%2Asqrt%28x%2B3%29%2Asqrt%28x-2%29%2B%28sqrt%28x-2%29%29%5E2=1
x%2B3-2%2Asqrt%28%28x%2B3%29%28x-2%29%29%2Bx-2=1
2x%2B1-2%2Asqrt%28%28x%2B3%29%28x-2%29%29=1
2x%2B1-1=2%2Asqrt%28%28x%2B3%29%28x-2%29%29
2x=2%2Asqrt%28x%5E2-2x%2B3x-6%29.........square both sides again
4x%5E2=4%2A%28x%5E2%2Bx-6%29
cross%284x%5E2%29=cross%284x%5E2%29%2B4x-24
0=4x-24
24=4x
x=24%2F4
x=6