Question

2x^2-3/5x-2 Solve by completing the square

Answer 1

Answer:

x = ( 3 ± √409 ) / 20

Step-by-step explanation:

2x² - (3/5)x - 2 = 0

=> 2x² - (3/5)x = 2

=> x² - (3/10)x = 1

=> x² - 2(3/20)x = 1

=> x² - 2(3/20)x + (3/20)² = 1 + (3/20)²

=> ( x - 3/20 )² = 1 + (3/20)²

=> ( x - 3/20 )² = 409 / 20²

=> x - 3/20 = ±√409 / 20

=> x = ( 3 ± √409 ) / 20