SOLUTION: 1) Is it possible for a quadratic equation to have no real solution? Give an example of a quadratic polynomial equation that has no real number as its solution. Explain your answ

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 1) Is it possible for a quadratic equation to have no real solution? Give an example of a quadratic polynomial equation that has no real number as its solution. Explain your answ      Log On


   

Question 196325: 1) Is it possible for a quadratic equation to have no real solution? Give an example of a quadratic polynomial equation that has no real number as its solution. Explain your answer using your example.

2) Joe travels a distance of 60 miles with an average speed of 40 miles per hour, and immediately he returns back the same path with an average speed of 48 miles an hour, what is his average speed for the round trip of 120 miles? Be Precise! Explain your answer. If the one way distance is 10 miles, would that change your answer? Explain.

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
yes there will be no real solution when the discriminant is less than zero
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for a standard equation of ax%5E2%2Bbx%2Bc=0the discriminant D=b%5E2-4ac
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so the equation x^2+x+4=0 ......has no real solutions rather they are complex solutions
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D=1%5E2-4%281%29%284%29=-15 so D<0