Make M the subject of the formula:X=-MN/√M²+N
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)
To make M the subject of the formula X=-MN/√M²+N, we will isolate M by performing the necessary algebraic steps. Here's how you can solve for M:
1. Start by multiplying both sides of the equation by √(M² + N) to eliminate the denominator:
√(M² + N) * X = -MN
2. Multiply X to the right side of the equation:
X * √(M² + N) = -MN
3. Divide both sides of the equation by -N to isolate M:
M = X * √(M² + N) / -N
That's it! The formula to express M as the subject is M = X * √(M² + N) / -N.
To make M the subject of the formula X = -MN/√(M² + N), we need to isolate M on one side of the equation.
Step 1: Multiply both sides of the equation by √(M² + N) to eliminate the fraction:
√(M² + N) * X = -MN
Step 2: Square both sides of the equation to eliminate the square root:
(√(M² + N) * X)² = (-MN)²
Simplifying,
(M² + N) * X² = M²N²
Step 3: Distribute X² through the parentheses:
M²X² + NX² = M²N²
Step 4: Move all terms containing M² to one side of the equation:
M²X² - M²N² = -NX²
Factor out M²:
M²(X² - N²) = -NX²
Step 5: Divide both sides of the equation by (X² - N²) to solve for M:
M² = -NX² / (X² - N²)
Taking the square root of both sides:
M = ±√(-NX² / (X² - N²))
Therefore, M is the subject of the formula: M = ±√(-NX² / (X² - N²))