Solve for nn. Express your answer as an integer or integers or in simplest radical form.minus, 2, n, squared, minus, 5, equals, minus, 103−2n 2 −5=−103
Question
Solve for n.
Express your answer as an integer or integers or in simplest radical form.
Solution
The equation you provided is -2n^2 - 5 = -103.
First, let's simplify the equation by adding 5 to both sides to isolate the term with the variable:
-2n^2 = -103 + 5 -2n^2 = -98
Next, divide both sides by -2 to solve for n^2:
n^2 = -98 / -2 n^2 = 49
Finally, take the square root of both sides to solve for n. Remember that when you take the square root of a number, there is a positive and a negative solution:
n = sqrt(49) n = 7 or n = -7
So, the solutions for n are 7 and -7.
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