Solve for mm. Express your answer as an integer or integers or in simplest radical form.3, m, squared, minus, 5, equals, 1873m 2 −5=187
Question
Solve for mm. Express your answer as an integer or integers or in simplest radical form.3, m, squared, minus, 5, equals, 1873m 2 −5=187
Solution
The equation you provided is 3m^2 - 5 = 187.
First, let's isolate the term with the variable by adding 5 to both sides of the equation:
3m^2 = 187 + 5 3m^2 = 192
Next, divide both sides of the equation by 3 to solve for m^2:
m^2 = 192 / 3 m^2 = 64
Finally, take the square root of both sides to solve for m. Remember that the square root of a number can be both positive and negative:
m = sqrt(64) m = 8 or m = -8
So, the solutions for m are 8 and -8.
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