Answer:
x = -5 + √65/2 or
x = -5 - √65/2
Step-by-step explanation:
-2x² - 5x + 5 = 0
2x² + 5x - 5 = 0
Here,
a = 2
b = 5
c = - 5
Now,
Discriminant
D = b² - 4ac
= (5)² - 4(2)(-5)
= 25 + 40
= 65
D = 65 > 0
Then,
x = -b +-√b² - 4ac/2a
x = -5 +-√(5)² - 4(2)(-5)/2(2)
= -5 +-√25 + 40/4
= -5 +-√65/4
= -5 +-√65/2
x = -5 + √65/2 or x = -5 - √65/2
