# Unknown Value of "x" in Quadratic Equation x^{2} + 5x + 6 = 0

## Work with Steps for x^{2} + 5x + 6 = 0

The below work with steps may helpful for grade school students to understand how to find unknown or root values of x for quadratic equation x^{2} + 5x + 6 = 0 or to solve the worksheet problems.
step 1 Address the input parameters and values

Quadratic Equation : x^{2} + 5x + 6 = 0

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

x = - b ± √b² - 4ac2a

=-(5) ± √(5^{2} - 4 (1) (6))2(1)

=-5± √25 - 4 (1)(6)2

=-5± √25 - 242

=-5± √12

step 3 Solve the above expression for minus & plus values

x_{1} = -5 + √12

= -5 + 1/2

x_{2} = -5 - √12

= -5 - 1/2

step 4 By simplifying the above expressions for x_{1} & x_{2}

x_{1} = -4/2

x_{1} = -2

x_{2} = -6/2

x_{2} = -3

x_{1} = -2 & x_{2} = -3 are the roots for equation x^{2} + 5x + 6 = 0