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Sagot :
The discriminant of the quadratic formula determines the nature of the roots of a quadratic equation. It is the expression inside that radical sign.
[tex]discriminant = b^{2} -4ac[/tex]
A quadratic equation has no real solutions if the discriminat is negative.
Examples of equations are
[tex] x^{2} -x +2[/tex]
(discriminant = -7)
[tex] x^{2} +2x+2[/tex]
(discriminant = -4)
[tex]discriminant = b^{2} -4ac[/tex]
A quadratic equation has no real solutions if the discriminat is negative.
Examples of equations are
[tex] x^{2} -x +2[/tex]
(discriminant = -7)
[tex] x^{2} +2x+2[/tex]
(discriminant = -4)
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
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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