SOLUTION: Please help me to solve this problem: {{{ x2-4x-7 = 0 }}}, Determine whether the following equation have a solution or not? Justify your answer.

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Question 180884: Please help me to solve this problem: , Determine whether the following equation have a solution or not? Justify your answer.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

From we can see that , , and


Start with the discriminant formula.


Plug in , , and


Square to get


Multiply to get


Rewrite as


Add to to get


Since the discriminant is greater than zero, this means that there are two real solutions.

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