To find the standard form of the equation, we need to simplify the given expression.
Step 1: Expand the square inside the square root:
(x - 2)^2 + (y + 5)^2
Step 2: Simplify the square:
(x - 2)(x - 2) + (y + 5)(y + 5)
Step 3: Apply the FOIL method:
x^2 - 2x - 2x + 4 + y^2 + 5y + 5y + 25
Step 4: Combine like terms:
x^2 - 4x + y^2 + 10y + 29
Therefore, the correct standard form of the equation is:
x^2 - 4x + y^2 + 10y + 29
What is the correct standard form of the equation:
√(x−2)2+(y+5)2
explain each step
3 answers
what you have is not an equation -- just an expression
Apologies for the confusion. You are correct that what I provided is an expression, not an equation.
In that case, if we want to convert the expression √(x−2)^2+(y+5)^2 into an equation, we set it equal to a constant value. Let's assume that the expression is equal to some constant, say c:
√(x−2)^2+(y+5)^2 = c
This is now an equation with the expression equal to a constant value.
In that case, if we want to convert the expression √(x−2)^2+(y+5)^2 into an equation, we set it equal to a constant value. Let's assume that the expression is equal to some constant, say c:
√(x−2)^2+(y+5)^2 = c
This is now an equation with the expression equal to a constant value.
1 answer