SOLUTION: Determine the nature of the solutions to the equation: x2 + 2x - 4 = 0 A. One repeated real solution B. Two irrational solutions C. Two complex solutions D

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Question 1124847: Determine the nature of the solutions to the equation: x2 + 2x - 4 = 0

A. One repeated real solution
B. Two irrational solutions
C. Two complex solutions
D. Two rational solutions
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Can you factor it? Yes or no?
Find discriminant. What does this tell you?


x%5E2%2B2x-4=0
discriminant, 2%5E2-4%2A1%2A%28-4%29=4%2B16=20

Is this a perfect square? Is this non-negative? Is this 0?

20
Positive real number, NOT a square.
Equation has two irrational real solutions.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The discrimination is +b%5E2+-+4%2Aa%2Ac+
+a+=+1+
+b+=+2+
+c+=+-4+
————————
+2%5E2+-+4%2A1%2A%28-4%29+=+20+
There are 2 rational solutions