Question
Make M the subject of the formula:X=-MN/√M²+N
Answers
GPT 3.5
To make M the subject of the formula, we can manipulate the equation as follows:
Start with the given formula: X = -MN/√(M²+N)
Multiply both sides of the equation by √(M²+N): X√(M²+N) = -MN
Divide both sides of the equation by -N: X√(M²+N) / -N = M
To simplify the expression on the left side, we can divide the numerator by -N and divide the denominator by -N separately:
(X/(-N)) * √(M²+N) = M
Since we are dividing a negative number by a negative number, the negative signs cancel out:
(X/N) * √(M²+N) = M
So we have made M the subject of the formula:
M = (X/N) * √(M²+N)
Start with the given formula: X = -MN/√(M²+N)
Multiply both sides of the equation by √(M²+N): X√(M²+N) = -MN
Divide both sides of the equation by -N: X√(M²+N) / -N = M
To simplify the expression on the left side, we can divide the numerator by -N and divide the denominator by -N separately:
(X/(-N)) * √(M²+N) = M
Since we are dividing a negative number by a negative number, the negative signs cancel out:
(X/N) * √(M²+N) = M
So we have made M the subject of the formula:
M = (X/N) * √(M²+N)