SOLUTION: Determine whether the following equations have a solution or not? Justify your answer. x2 + 6x

SOLUTION: Determine whether the following equations have a solution or not? Justify your answer. x2 + 6x - 7 = 0 z2 + z + 1 = 0

Question 149270: Determine whether the following equations have a solution or not? Justify your answer.
x2 + 6x - 7 = 0
z2 + z + 1 = 0

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Quickest way is to graph the equations to check for real solutions.

This can be factored into,

x=1 and x=-7 are zeros as you can see.
.
.
.
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Never crosses the x axis, therefore no real solutions, the solutions are complex.
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