- #1
al-mahed
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For how many whole numbers c, − 2007 ≤ c ≤ 2007, exists a whole number x such that x^2 + c is multiple of 2^2007?
Solving for c means to find the value of c that makes the given equation true. In this case, we are looking for the value of c that satisfies the equation 2^2007 + x^2 + c = 0.
To solve for c, we need to isolate it on one side of the equation by using algebraic manipulation. In this case, we can subtract 2^2007 and x^2 from both sides to get c = -2^2007 - x^2.
Yes, we can still solve for c as long as we have enough information to isolate it on one side of the equation. However, the solution may involve multiple variables and may not be a single numerical value.
Yes, there are some special cases that may require different approaches to solving for c. For example, if the equation is a quadratic equation in the form of ax^2 + bx + c = 0, we can use the quadratic formula to solve for c.
Yes, a calculator can be used to solve for c in this equation. However, it may not always give an exact solution due to rounding errors. It is always recommended to double-check the solution manually by plugging it back into the original equation to ensure its accuracy.