   Chapter 0.5, Problem 14E

Chapter
Section
Textbook Problem

By any method, determine all possible real solutions of each equation in Exercises 13–30. Check your answers by substitution. x 2 + x + 1 = 0

To determine

To calculate: The all real solutions in the quadratic equation x2+x+1=0.

Explanation

Given Information:

The provided quadratic equation is x2+x+1=0.

Formula used:

The value of x in the equation ax2+bx+c=0 can be given by the quadratic formula,

x=b±b24ac2a where a,b and c are real numbers with a0.

Calculation:

Consider the quadratic equation x2+x+1=0.

Compare the above equation with the equation ax2+bx+c=0,

a=1, b=1 and c=1

Put the values of a,b,c in the quadratic formula x=b±b24ac2a

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