SOLUTION: Determine the Nature of the Roots. t^2 + 8t

SOLUTION: Determine the Nature of the Roots. t^2 + 8t - 20 = 0

Question 1132441: Determine the Nature of the Roots.
t^2 + 8t - 20 = 0
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!
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When you have this question "Determine the Nature of the Roots", solve the problem as follows: - Calculate the discriminant of the equation d = b^2 - 4ac (here I refer to the general form of the quadratic equation ax^2 + bx + c = 0, so in your case a= 1, b= 8, c -20 and d= = 64 + 80 = 144.) - The discriminant is positive - so, the equation has two distinct real roots. ANSWER At this point, the question is answered and the solution is completed. But you can make one step further to earn an additional score: you can easily FIND the roots = = = = , so, the roots are = -4 + 6 = 2 and = -4 - 6 = -10.

Answered, solved and completed.

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On solving quadratic equations, see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
    - HOW TO complete the square - Learning by examples
    - HOW TO solve quadratic equation by completing the square - Learning by examples
    - Solving quadratic equations without quadratic formula
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The referred lessons are the part of this textbook under the topic "Quadratic equations".

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Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Determine the Nature of the Roots.
t^2 + 8t - 20 = 0

Based on the calculation of the DISCRIMINANT () - the DISCRIMINANT being 144 - the roots are:
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