EriesZ251315 EriesZ251315
  • 25-10-2022
  • Mathematics
contestada

f (x) = 4x^2+2x+6find the value of the discriminate of f and how many distinct real number zeros f has.

f x 4x22x6find the value of the discriminate of f and how many distinct real number zeros f has class=

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AkilG31206 AkilG31206
  • 25-10-2022

The Solution:

Given:

Required:

To find the discriminant of f.

By formula, the discriminant (D) is:

[tex]D=b^2-4ac[/tex]

Where:

[tex]\begin{gathered} a=4 \\ b=2 \\ c=6 \end{gathered}[/tex]

Substitute:

[tex]\begin{gathered} D=2^2-4(4)(6)=4-96=-92 \\ No\text{ real root since D}<0 \end{gathered}[/tex]

Therefore, the correct answers are:

Discriminant = -92

No distinct real root.

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