solve the equation

Question

Solve the equation. Write any complex solutions in standard form for a complex number. (Enter your answers as a comma-separated list.)
3x2 + 2x + 10 = −8

Answer 1

3x² + 2x + 18 = 0

 

 

Use the quadratic formula:

 

x = (-b ± √(b² - 4ac)) / 2a

 

where:

a = 3

b = 2

c = 18

 

Plug in the values into the formula.

 

Solutions will be in the form

 

 

x₁ = (-b / 2a) - (1/2a)√(b² - 4ac)

x₂ = (-b / 2a) + (1/2a)√(b² - 4ac)