Find the value of the discriminant. Then describe the number and type of roots for the equation. x2 + x + 7 = 0

Answer:The value of the discriminate is -27 and there are 2 complex rootsStep-by-step explanation:* Lets explain what is discriminant - The form of the quadratic equation is y= ax² + bx + c - The roots of the equation is the values of x when y = 0- There are three types of roots:# Two different real roots# One real root# No real roots or two complex roots- We can know the types of roots of the equation without solve it by  using the discriminant which depends on the value of a , b , c- The discriminant = b² - 4ac, where a is the coefficient of x² , b is the   coefficient of x and c is the numerical term# If b² - 4ac > 0, then there are two different real roots# If b² - 4ac = 0, then there is one real root# If b² - 4ac < 0, then there is no real root (2 complex roots)* Lets solve the problem∵ x² + x + 7 = 0∴ a = 1 , b = 1 , c = 7∵ The discriminant = b² - 4ac∴ The discriminant = (1) - 4(1)(7) = 1 - 28 = -27 ∵ -27 < 0∴ There is no real solution there are two complex roots* The value of the discriminate is -27 and there are 2 complex roots