SOLUTION: Studing solotions of quadratic equations. For each equation determine whether the solutions are real or imaginary. If they are real specify whether they are rational or irration

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Question 297318: Studing solotions of quadratic equations.
For each equation determine whether the solutions are real or imaginary. If they are real specify whether they are rational or irrational.
x^2 + 3x - 6 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can graph it.
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C++x%5E2%2B3x-6%29+
Since it crosses the x-axis the solutions are real.
Now use the quadratic formula,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-6%29+%29%29%2F%282%2A1%29+
x+=+%28-3+%2B-+sqrt%28+9%2B25+%29%29%2F%282%29+
x+=+%28-3+%2B-+sqrt%28+34%29%29%2F%282%29+
Since 34 is not a perfect square, the solutions are irrational.