# Unknown Value of "x" in Quadratic Equation x2 + x + 1 = 0 -0.5 + 0.866i & -0.5 - 0.866i are the roots of quadratic equation x2 + x + 1 = 0. Users may replace the input values of this equation x2 + x + 1 = 0 to verify the similar calculations or generate complete work with steps to find what is the unknown or root value of x.

## Work with Steps for x2 + x + 1 = 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 x2 + x + 1 = 0 or to solve the worksheet problems. step 1 Address the input parameters and values
Quadratic Equation : x2 + x + 1 = 0

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

x = - b ± b² - 4ac2a

=-(1) ± (12 - 4 (1) (1))2(1)

=-1±1 - 4 (1)(1)2

=-1±1 - 42

=-1±3 . i2

step 3 Solve the above expression for minus & plus values
x1 = -1 + 3 . i2

= -1 + 1.7321i2

x2 = -1 - 3 . i2

= -1 - 1.7321i2

step 4 By simplifying the above expressions for x1 & x2
x1 = -1/2+ 1.7321i/2
x1 = -0.5 + 0.866i
x2 = -1/2- 1.7321i/2
x2 = -0.5 - 0.866i

x1 = -0.5 + 0.866i & x2 = -0.5 - 0.866i are the roots for equation x2 + x + 1 = 0 