X^2-6=x
To solve for x, we can use inverse operations to isolate x on one side of the equation:
X^2 - 6 = x
X^2 = x + 6 (add 6 to both sides)
X = ±√(x + 6) (take the square root of both sides)
So the solution for x is x = ±√(x + 6), where x can take any real value that makes the expression inside the square root non-negative.
To solve the equation x^2 - 6 = x, we can follow these steps:
Step 1: Move all terms to one side of the equation to get it in standard quadratic form:
x^2 - 6 - x = 0
Step 2: Combine like terms:
x^2 - x - 6 = 0
Step 3: Factor the quadratic equation:
(x - 3)(x + 2) = 0
Step 4: Set each factor equal to zero and solve for x:
x - 3 = 0 or x + 2 = 0
Solving the first equation: x - 3 = 0
Add 3 to both sides of the equation:
x = 3
Solving the second equation: x + 2 = 0
Subtract 2 from both sides of the equation:
x = -2
So, the solutions to the equation x^2 - 6 = x are x = 3 and x = -2.