spidey8199 spidey8199
  • 22-10-2019
  • Mathematics
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Show that the discriminant of (k+1)x²+4kx+2=0 defines a quadratic function of k.

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nuuk nuuk
  • 22-10-2019

Answer:

Step-by-step explanation:

Given

[tex]\left ( k+1\right )x^2+4kx+2=0[/tex]

For Discriminant of ax^2+bx+c=0

[tex]D=\sqrt{b^2-4ac}[/tex]

here

[tex]D=\sqrt{\left ( 4k\right )^2-4\left ( k+1\right )\left ( 2\right )}[/tex]

[tex]D=\sqrt{16k^2-8k-8}>0[/tex] for real roots

so [tex]16k^2-8k-8>0[/tex]

[tex]2k^2-k-1>0[/tex] is a form of Quadratic equation

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