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2014-07-08T17:58:02+08:00

This Is a Certified Answer

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The discriminant of the quadratic formula determines the nature of the roots of a quadratic equation. It is the expression inside that radical sign.

discriminant =  b^{2} -4ac

A quadratic equation has no real solutions if the discriminat is negative.

Examples of equations are

 x^{2} -x +2
(discriminant = -7)

 x^{2} +2x+2
(discriminant = -4)
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2014-07-08T18:06:38+08:00

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If k<0, then x²=k has no real solution

for example:

s²+9=0
write the equation in the form x²=k

s²+9=0⇒ s²+9-9=0-9
               s= -9

since -9 is less than 0 then the equation s²²=-9 has no real solution or roots
there is no real number when squared gives 9



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