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

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08-07-2014
Math

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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

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AnneCidn AnneCidn · Answer 1 · 2014-07-08T17:58:02+08:00

AnneCidn AnneCidn

08-07-2014

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)

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Empressmilleridn Empressmilleridn · Answer 2 · 2014-07-08T18:06:38+08:00

Empressmilleridn Empressmilleridn

08-07-2014

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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