Solve for x, Y= x^2 + 25
There are different approaches to solve for x in the equation Y = x^2 + 25, but one common method is to isolate x on one side of the equation by subtracting 25 from both sides and then taking the square root (with a plus or minus sign) to cancel out the exponent:
Y - 25 = x^2 (subtract 25 from both sides)
±√(Y - 25) = x (take the square root of both sides, noting the ± sign)
Therefore, the solutions for x in terms of Y are:
x = √(Y - 25) or x = -√(Y - 25)
Note that the expression under the square root sign must be non-negative for real solutions, so Y - 25 ≥ 0, or Y ≥ 25. Otherwise, the solutions would involve imaginary numbers.
To solve for x in the equation Y = x^2 + 25, we need to isolate the x term.
Step 1: Start with the given equation: Y = x^2 + 25
Step 2: Subtract 25 from both sides of the equation: Y - 25 = x^2
Step 3: Take the square root of both sides to eliminate the exponent: √(Y - 25) = √(x^2)
Note: Since the square root has a positive and negative solution, we will have two possible values for x.
Step 4: Simplify the square root on the left side: √(Y - 25) = x
Step 5: Therefore, the two possible values for x are x = √(Y - 25) and x = -√(Y - 25).