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Evaluate the discriminant of -3x2+5-4=0

Sagot :

VirαtKσhli

Answer:

-23

Step-by-step explanation:

A quadratic equation is given to us and we are interested in finding the discriminant of the quadratic equation . As we know that ,

If the quadratic equation is in Standard form ,

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

The discriminant is ,

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

The given quadratic equation is ,

[tex]\sf\longrightarrow -3x^2 +5x - 4 = 0 [/tex]

On comparing it with the Standard form , we have ,

  • a = (-3)
  • b = 5
  • c = (-4)

So that ,

[tex]\sf\longrightarrow D = (5)^2 - 4(-3)(-4)\\[/tex]

[tex]\sf\longrightarrow D = 25 - 48\\[/tex]

[tex]\sf\longrightarrow \bf D = -23 [/tex]

Also note that if D < 0 , then the roots are complex conjugates .

Hence the discriminant is (-23).

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