Question

Determine the nature of the solutions to the equation: x2 - 3x = 6

Answer 1

One Solution

Step-by-step explanation: when x is equal to one number it is defined as one solution. I hoped I answered correctly. please comment if I haven't

Answer 2

Answer: The solution is two distinct real zeros.

Explanation:

Subtract 6 from both sides:

`x^2-3x-6=6-6\\x^2-3x-6=0`

Calculate the discriminant:

`D=b^2-4ac`

Where:

a=1

b=-3

c=-6

Then:

`D=(-3)^2-4(1)(-6)=33`

By definition, when
`D>0` the solution is two distinct real zeros.