Solving quadratic equations with complex solutions
solve x^2-3x=-8

Not the prettiest but you can simplify

Step-by-step explanation:

We are given the equation:-

First, arrange the expression to the standard form.

Recall the standard form of Quadratic Equation:-

Therefore, add both sides by 8.

Since we know that the solutions are complex. Therefore, we apply our Quadratic Formula.

Quadratic Formula

From the equation, the value of:

Substitute these values in the formula.

Make sure to recall every necesscary and important fundamental math such as multiplying with negative, exponents, etc.

Imaginary Unit

From √-23, factor √-1 out.

Convert √-1 to i.

And we're done!