Answer:
x = 2.69 or x = -0.19
Step-by-step explanation:
Given:
2x² − 5x − 1 = 0
x = {-b ± √b² - 4ac} / 2a
a = 2
b = -5
c = -1
x = {-b ± √b² - 4ac} / 2a
= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2
= {5 ± √25 - (-8)} / 4
= {5 ± √25 + 8} / 4
= 5 ± √33 / 4
= 5 ± 5.75 /4
x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4
x = 10.75/4 or x = -0.75/4
x = 2.69 or x = -0.19
