SOLUTION: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions: 10z^2-z+7-0

Algebra ->  Square-cubic-other-roots -> SOLUTION: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions: 10z^2-z+7-0      Log On


   



Question 329290: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions:
10z^2-z+7-0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+D=b%5E2-4ac+
D=%28-1%29%5E2-4%2810%29%287%29
D=1-280
D=-279
Since the discriminant is negative, the roots are complex.
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Graphical verification, the curve never crosses the x-axis, hence complex roots.
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graph%28300%2C300%2C-10%2C10%2C-5%2C15%2C10x%5E2-x%2B7%29