Question

Akar akar persamaan kuadrat 2x²-5x-3=0 adalah,menggunakan cara melengkapkan kuadrat sempurna

Answer 1

2x² - 5x - 3 = 0
2x² - 5x = 3
x² - (5/2)x = 3/2
(x - 5/4)² - 25/4 = 3/2 
(x - 5/4)² = 3/2 + 25/4
(x - 5/2)² = 31/4
x - 5/2 = +- √31/4
x = (1/2)√31 + 5/2 atau x = - (1/2)√31 + 5/2