Solve 2x² + 5x + 5 = 0. Round solutions to the nearest hundredth.

Solution:

Given,

The equation 2x² + 5x + 5 = 0.

By using quadratic formula,

-b ± √b² - 4ac/2a

a = 2

b = 5

c = 5

x = [-5 ± √5² - 4(2)(5)]/2(2)

x = [-5 ± √25 - 8(5)]/4

x = [-5 ± √25 - 40]/4

x = (-5 ± √15i)/4

x = (-5 + √15i)/4

x = (-√15i - 5)/4

x = (-5 + √15i)/4 ≈ 0.968i

x = (-√15i - 5)/4 ≈ 0.968i

Therefore, the solution is 0.968i.

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Solve 2x² + 5x + 5 = 0. Round solutions to the nearest hundredth.

Summary:

Solving 2x² + 5x + 5 = 0 the solution to the nearest hundredth is 0.968i