Answer:
when m is negative, the value of m in the equation m² + 6m/5 = 11 is -11.
Explanation:
In the equation given, we have m² + 6m/5 = 11.
To find the value of m when it is negative, we can solve the equation.
First, let's simplify the equation:
m² + 6m/5 = 11
Multiplying both sides of the equation by 5 to eliminate the fraction:
5(m² + 6m/5) = 5(11)
Simplifying:
m² + 6m = 55
Now, we can rearrange the equation to bring all terms to one side:
m² + 6m - 55 = 0
To solve this quadratic equation, we can factor or use the quadratic formula.
Factoring the quadratic equation, we look for two numbers that multiply to give -55 and add up to 6. The numbers are 11 and -5:
(m + 11)(m - 5) = 0
Setting each factor equal to zero:
m + 11 = 0 or m - 5 = 0
Solving for m:
m = -11 or m = 5
Since we are looking for the value of m when it is negative, the answer is m = -11.
Therefore, when m is negative, the value of m in the equation m² + 6m/5 = 11 is -11.
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