SOLUTION: Find the number of solutions for this equation. x2-3x+4=0

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Question 197006This question is from textbook Algebra 1
: Find the number of solutions for this equation. x2-3x+4=0 This question is from textbook Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From x%5E2-3x%2B4 we can see that a=1, b=-3, and c=4


D=b%5E2-4ac Start with the discriminant formula.


D=%28-3%29%5E2-4%281%29%284%29 Plug in a=1, b=-3, and c=4


D=9-4%281%29%284%29 Square -3 to get 9


D=9-16 Multiply 4%281%29%284%29 to get %284%29%284%29=16


D=-7 Subtract 16 from 9 to get -7


Since the discriminant is less than zero, this means that there are two complex solutions.


In other words, there are no real solutions.