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Calvinmiyelani Calvinmiyelani
  • 03-03-2016
  • Mathematics
Answered

Is the equations of quadratic number pattern will always have real roots

Verified Answer :

AL2006
AL2006 AL2006
  • 03-03-2016

No, not at all.

The general quadratic equation is

                         Ax² + Bx + C = 0 .

The roots are real only if  (B² - 4AC) is not negative.

That means if you graph it, it touches or crosses the x-axis.

If the graph is up in the air and never touches the x-axis,
then it has no real roots.

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