Question

Solve the following equation by using formula :

2x² – 3x – 1 = 0

Answer 1

2x² – 3x – 1 = 0
Here a = 2, b = -3, c = -1
D = b² - 4ac
= (-3)² - 4 x 2 x (-1)
= 9 + 8
= 17

∵ x = `(-b ± sqrt('D"))/(2a)`

= `(-(-3) ± sqrt(17))/(2 xx 2)`

= `(3 ± sqrt(17))/(4)`

∴ x = `(3 + sqrt(17))/(4), (3 - sqrt(17))/(4)`.