�ã(X+2)-X=0
THE SQUARE ROOT OF (X+2)-x=0
sqrt(x+2)=x
x+2=x^2 squared both side.
Now put all terms on one side, and factor.
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To solve the equation ċ(X + 2) - X = 0, we can follow these steps:
Step 1: Expand the equation
ċ(X + 2) - X = 0
First, simplify the equation by distributing the square root operation to both terms inside the parentheses:
ċX + ċ2 - X = 0
Step 2: Combine like terms
Now, combine the X terms on the left side and the constant terms on the right side of the equation:
ċX - X + ċ2 = 0
Simplifying the equation further, we have:
ċX - X = -ċ2
Step 3: Isolate the square root term
To isolate the square root term, let's move the -X term to the right side of the equation:
ċX = X + ċ2
Step 4: Square both sides to eliminate the square root
To remove the square root symbol, square both sides of the equation:
(ċX)^2 = (X + ċ2)^2
Simplifying further, we have:
X = X^2 + 2Xċ2 + (ċ2)^2
Step 5: Simplify and solve for X
Now, simplify the equation and solve for X:
X = X^2 + 2Xċ2 + 2
Rearrange the equation in quadratic form:
X^2 + (2ċ2 - 1)X + 2 = 0
At this point, you can solve the quadratic equation using various methods such as factoring, completing the square, or using the quadratic formula to find the value(s) of X.