Question

find the roots of polynomial x²+5x+6=0​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

1. Address the input parameters and values

Quadratic Equation : x2 + 5x + 6 =0

2. Substitute a , b and c values in below formula

x =- b ± √b² - 4ac

2a

=-(5) ± √(52 - 4 (1) (6))

2(1)

=-5± √25 - 4 (1)(6)

2

=-5± √25 - 24

2

=-5± √1

2

3. Solve the above expression for minus & plus values

x=-5 + √1

2

=-5 + 1/2

x'=-5 - √1/2

=-5 - 1/2

4. By simplifying the above expressions for x & x'

x =-4/2

x = -2

x' =-6/2

x' = -3

x= -2 & x' = -3 are the roots for equation x2 + 5x + 6 = 0