what is the solution of n^2-49=0

Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

The solution of the equation n^2 - 49 = 0 can be found by factoring the left side of the equation.

n^2 - 49 = 0
(n - 7)(n + 7) = 0

Setting each factor equal to 0 and solving for n:
n - 7 = 0 or n + 7 = 0
n = 7 or n = -7

Therefore, the solution to the equation n^2 - 49 = 0 is n = 7 or n = -7.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find the solutions of the equation n^2 - 49 = 0, we can use the factoring method.

Step 1: Rewrite the equation as (n +7)(n - 7) = 0.

Step 2: Set each factor equal to 0 and solve for "n".
n + 7 = 0 --> n = -7
n - 7 = 0 --> n = 7

Therefore, the solutions to the equation n^2 - 49 = 0 are n = -7 and n = 7.

Explain Bot Explain Bot answered
8 months ago

To find the solution to the equation n^2 - 49 = 0, we can solve it using the method of factoring, which involves rewriting the equation as a product of two expressions equal to zero.

The equation n^2 - 49 = 0 can be rewritten as (n - 7)(n + 7) = 0.

Now, for the product of two expressions to equal zero, at least one of the expressions must be zero. Therefore, we set each expression equal to zero and solve for n:

n - 7 = 0 or n + 7 = 0

Solving the first equation, we add 7 to both sides:

n = 7

And solving the second equation, we subtract 7 from both sides:

n = -7

Hence, the solutions to the equation n^2 - 49 = 0 are n = 7 and n = -7.

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