zawadikyanza8 zawadikyanza8
  • 13-01-2023
  • Mathematics
contestada

Solve the following equation:
3x² = -12
a. X-2
b.
x=-2
C. No real solutions
d.
x= ±2

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 13-01-2023

Answer:

[tex]\huge\boxed{\sf Option\ C.}[/tex]

Step-by-step explanation:

Given equation:

3x² = -12

  • Divide both sides by 3

x² = -12/3

x² = -4

  • Take sqrt on both sides

√x² = √-4

x = √-1 × √4

We know that [tex]\sqrt{-1} =i[/tex]

x = ±2i

i(iota) is an imaginary number. So, we can say that the equation has no real solutions.

[tex]\rule[225]{225}{2}[/tex]

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