Question

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

Answer 1

Answer:

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.

Step-by-step 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.