√(x+5)-√(x-3)=2
2 answers
http://www.wolframalpha.com/input/?i=%E2%88%9A%28x%2B5%29-%E2%88%9A%28x-3%29%3D2
Start by adding √(x - 3) to both sides (whatever operation you do to one side of an equation you must do to the other side as well). The result is this:
√(x + 5) = √(x - 3) + 2
Then square both sides to get this:
x + 5 = x - 3 + 2√(x - 3) + 2√(x - 3) + 4
Combine like terms:
x + 5 = x + 1 + 4√(x - 3)
Subtract x and 1 from both sides:
4 = 4√(x - 3)
Divide by 4 to get this result:
1 = √(x - 3)
Square both sides again to get this result:
1 = x - 3
x = 4
Check this solution with the original equation. It always helps to check your work!
I hope this helps.
√(x + 5) = √(x - 3) + 2
Then square both sides to get this:
x + 5 = x - 3 + 2√(x - 3) + 2√(x - 3) + 4
Combine like terms:
x + 5 = x + 1 + 4√(x - 3)
Subtract x and 1 from both sides:
4 = 4√(x - 3)
Divide by 4 to get this result:
1 = √(x - 3)
Square both sides again to get this result:
1 = x - 3
x = 4
Check this solution with the original equation. It always helps to check your work!
I hope this helps.