Solve for x, Y= x^2 + 25

Answer 1

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.