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Question
In the following, determine whether the given values are solutions of the given equation or not:
x2 + x + 1 = 0, x = 0, x = 1
Solution
We have been given that,
x2 + x + 1 = 0, x = 0, x = 1
Now if x = 0 is a solution of the equation then it should satisfy the equation.
So, substituting x = 0 in the equation, we get
x2 + x + 1
= (0)2 + 0 + 1
= 1
Hence x = 0is not a solution of the given quadratic equation.
Also, if x = 1is a solution of the equation then it should satisfy the equation.
So, substituting x = 1 in the equation, we get
x2 + x + 1
= (1)2 + 1 + 1
= 3
Hence x = 1 is not a solution of the quadratic equation.
Therefore, from the above results we find out that both x = 0 and x = 1are not a solution of the given quadratic equation.
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