Answer:
x = ±√[(4q - 4p) / (p - q)]
Explanation:
To make x the subject of the formula px² - qx² = 4p - 4q, we can follow these steps:
Factor out x² from the left-hand side of the equation:
px² - qx² = (p - q)x²
Add 4q to both sides of the equation:
px² = (p - q)x² + 4q - 4p
Divide both sides of the equation by (p - q):
x² = (4q - 4p) / (p - q)
Take the square root of both sides of the equation, remembering to include both the positive and negative roots:
x = ±√[(4q - 4p) / (p - q)]
Therefore, the solution for x is:
x = ±√[(4q - 4p) / (p - q)]