paisleynshultz paisleynshultz
  • 22-06-2021
  • Mathematics
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Find the number of solutions of the equation 6x^2+6x+3=0 by using the discriminant

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MrRoyal
MrRoyal MrRoyal
  • 27-06-2021

Answer:

No real roots

Step-by-step explanation:

Given

[tex]6x^2 + 6x + 3 = 0[/tex]

Required

The number of solution

The discriminant (d) for [tex]ax^2 + bx + c = 0[/tex] is:

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

So, we have:

[tex]d = 6^2 - 4*6*3[/tex]

[tex]d = 36 - 72[/tex]

[tex]d = -36[/tex]

Since [tex]d <0[/tex], then the equation has no real roots

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