Answer: x = 5
Explanation:
Solve for x given the equation 2(x - 2)² = (2x - 1)(x - 3).
Simplify the equation.
2(x - 2)(x - 2) = (2x - 1)(x - 3)
2(x² - 4x + 4) = (2x² - 7x + 3)
2x² - 8x + 8 = 2x² - 7x + 3
Solve for x.
2x² - 8x + 8 = 2x² - 7x + 3
-8 - 8
2x² - 8x = 2x² - 7x - 5
+8x + 8x
2x² = 2x² + x - 5
-x - x
2x² - x = 2x² - 5
-2x² - 2x²
- x = - 5
- 5 ÷ - 1 = 5
x is equal to 5.