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 - 25/16 = 3/2 
(x - 5/4)² = 3/2 + 25/16
(x - 5/4)² = 49/16
x - 5/4 = +- √49/16
x = 7/4 + 5/4 = 3 atau x = - 7/4 + 5/4 = - 1/2