How do you solve #2n^2-50=0#?

Answer 1

See a solution process below:

First, add #color(red)(50)# to each side of the equation to isolate the #n# term while keeping the equation balanced:
#2n^2 - 50 + color(red)(50) = 0 + color(red)(50)#
#2n^2 - 0 = 50#
#2n^2 = 50#
Next, divide each side of the equation by #color(red)(2)# to isolate #n^2# while keeping the equation balanced:
#(2n^2)/color(red)(2) = 50/color(red)(2)#
#(color(red)(cancel(color(black)(2)))n^2)/cancel(color(red)(2)) = 25#
#n^2 = 25#
Now, take the square root of each side of the equation to solve for #n# while keeping the equation balanced. Remember, the square root of a number produces a positive and negative result.
#sqrt(n^2) = +-sqrt(25)#
#n = +-5#

The Solution Set Is:

#n = {-5, 5}#
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Answer 2

To solve the equation (2n^2 - 50 = 0), we can first add 50 to both sides to get (2n^2 = 50). Then, we divide by 2 to isolate (n^2), giving us (n^2 = 25). Taking the square root of both sides, we find (n = \pm 5). So, the solutions are (n = 5) and (n = -5).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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