Make sure you write all the terms on the left-hand side of the equation and simplify as much as possible before using the Quadratic Formula.
C
Practice makes perfect
We want to find all the complex solutions of the given quadratic equation. To do it, we will use the Quadratic Formula.
ax^2+ bx+ c=0 ⇕ x=- b± sqrt(b^2-4 a c)/2 a
Let's start by rewriting the equation so all of the terms are on the left-hand side and then simplify as much as possible.
x^2-4x=- 5 ⇔ x^2-4x+5=0Now, we can identify the values of a, b, and c.
x^2-4x+5=0 ⇕ 1x^2+( - 4)x+ 5=0
We see that a= 1, b= - 4, and c= 5. Let's substitute these values into the Quadratic Formula.
Since we have a negative radicand, we can recall the definition of the imaginary unit i.
sqrt(- 1) = i
We will use this definition to continue simplifying.
