Question

What are the solutions of x2 + 2x + 9 = 0?

Answer 1

There are no soluions

Answer 2

the solution is a complex no.

Answer 3

When you try the quadratic formula, you will have a negative number under the square root part:
\[\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-2\pm\sqrt{4-36}}{2}=\frac{-2\pm\sqrt{-32}}{2}\] (This is equivalent to saying the discriminant is negative). As a result, there are no real solutions to this equation.

Answer 4

Solve x2 – 3x = 1

Answer 5

bring the 1 to the other side, and use the same procedure as above:
\[x^2-3x=1 \ \ \ \Longleftrightarrow \ \ \ x^2-3x-1=0\]