Question

(2x-9)^2=x^2 Solve using the quadratic formula

Answer 1

(2x - 9)² = x²

4x² - 36x + 81 = x²

3x² - 36x + 81 = 0

x² - 12x + 27 = 0

x = (12 ± √((-12)² - 4(1)(27))/2

= (12 ± √(144 - 108))/2

= (12 ± √36)/2

= (12 ± 6)/2

= 3, 9