book Maths Puzzle Numerical Ability

x^2+x+1=0
Can u please solve it and show me how to check it? thank you very much.

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book Other Question

The directions ask to use the distribustive Property to write each expression as an equivalent expression. Then evaluate each expression. Please help The first one is 6(80+1) I think it would be 6(80)+6(1)=486 is this how i do this? Increaing a number by five and then doubling the outcome is the same same as decresing the number by twelve