kingdesto1737 kingdesto1737
  • 22-10-2019
  • Mathematics
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Is it possible that the quadratic equation ax²+bx+c=0 has a positive real solution if a,b and c are all negative real numbers?

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nuuk nuuk
  • 22-10-2019

Answer:yes

Step-by-step explanation:

Given

[tex]ax^2+bx+c=0[/tex]

a,b,c<0

For quadratic equation to have real roots Discriminant should be greater than zero

D>0

[tex]\sqrt{b^2-4ac}>0[/tex]

Thus

[tex]b^2-4ac>0[/tex]

b is negative so its square is positive

a & c is negative so their product is positive

so Discriminant is Positive when

[tex]b^2>4ac[/tex]

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