Question

Solve the following equation:

3x² = -12
a. X-2
b.
x=-2
C. No real solutions
d.
x= ±2

Answer 1

`\huge\boxed{\sf Option\ C.}`

Explanation:

Given equation:

3x² = -12

• Divide both sides by 3

x² = -12/3

x² = -4

• Take square root on both sides

√x² = √-4

x = √-1 × √4

We know that
`√(-1) =i`

x = ±2i

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

`\rule[225]{225}{2}`