IDNStudy.com, ang iyong mapagkukunan ng mabilis at eksaktong mga sagot. Magtanong ng anumang bagay at makatanggap ng agarang tugon mula sa aming dedikadong komunidad ng mga eksperto.

how are you going to use quadratic formula in determining whether a quadratic equation has no real solutions? give 2 examples if quadratic equations of no real solutions



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)
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